Search a number
-
+
159528411105552 = 24334091693533303
BaseRepresentation
bin100100010001011100011010…
…010001101000100100010000
3202220211202201021000000222000
4210101130122101220210100
5131402203141220334202
61323142201302314000
745413355512622666
oct4421343221504420
9686752637000860
10159528411105552
114691568a198a05
1215a85812128900
136b026069c3818
142b5730572ac36
151369a77b0e91c
hex91171a468910

159528411105552 has 160 divisors (see below), whose sum is σ = 459297190598400. Its totient is φ = 53014690003968.

The previous prime is 159528411105551. The next prime is 159528411105571. The reversal of 159528411105552 is 255501114825951.

159528411105552 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 2 + 84 + 1 + 1 + 1 + 0 + 5 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (159528411105551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298866133 + ... + 299399435.

It is an arithmetic number, because the mean of its divisors is an integer number (2870607441240).

Almost surely, 2159528411105552 is an apocalyptic number.

159528411105552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159528411105552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229648595299200).

159528411105552 is an abundant number, since it is smaller than the sum of its proper divisors (299768779492848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159528411105552 is a wasteful number, since it uses less digits than its factorization.

159528411105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535422 (or 535410 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 54.

The spelling of 159528411105552 in words is "one hundred fifty-nine trillion, five hundred twenty-eight billion, four hundred eleven million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 409 432 818 1227 1636 1693 2454 3272 3386 3681 4908 5079 6544 6772 7362 9816 10158 11043 13544 14724 15237 19632 20316 22086 27088 29448 30474 40632 44172 45711 58896 60948 81264 88344 91422 121896 176688 182844 243792 365688 533303 692437 731376 1066606 1384874 1599909 2077311 2133212 2769748 3199818 4154622 4266424 4799727 5539496 6231933 6399636 8309244 8532848 9599454 11078992 12463866 12799272 14399181 16618488 18695799 19198908 24927732 25598544 28798362 33236976 37391598 38397816 49855464 57596724 74783196 76795632 99710928 115193448 149566392 218120927 230386896 299132784 436241854 654362781 872483708 902881979 1308725562 1744967416 1805763958 1963088343 2617451124 2708645937 3489934832 3611527916 3926176686 5234902248 5417291874 5889265029 7223055832 7852353372 8125937811 10469804496 10834583748 11778530058 14446111664 15704706744 16251875622 21669167496 23557060116 24377813433 31409413488 32503751244 43338334992 47114120232 48755626866 65007502488 94228240464 97511253732 130015004976 195022507464 369278729411 390045014928 738557458822 1107836188233 1477114917644 2215672376466 2954229835288 3323508564699 4431344752932 5908459670576 6647017129398 8862689505864 9970525694097 13294034258796 17725379011728 19941051388194 26588068517592 39882102776388 53176137035184 79764205552776 159528411105552