Search a number
-
+
150045060360 = 233513195062249
BaseRepresentation
bin1000101110111101100…
…0011110110100001000
3112100021220020211001210
42023233120132310020
54424243013412420
6152532454213120
713561153653366
oct2135730366410
9470256224053
10150045060360
11586a7585718
12250b59541a0
13111c29c83b0
147395760636
153d82a309e0
hex22ef61ed08

150045060360 has 128 divisors (see below), whose sum is σ = 510274800000. Its totient is φ = 34990258176.

The previous prime is 150045060359. The next prime is 150045060397. The reversal of 150045060360 is 63060540051.

150045060360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2501485 + ... + 2560764.

It is an arithmetic number, because the mean of its divisors is an integer number (3986521875).

Almost surely, 2150045060360 is an apocalyptic number.

150045060360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150045060360 is an abundant number, since it is smaller than the sum of its proper divisors (360229739640).

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

150045060360 is a wasteful number, since it uses less digits than its factorization.

150045060360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062295 (or 5062291 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 150045060360 in words is "one hundred fifty billion, forty-five million, sixty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 5062249 10124498 15186747 20248996 25311245 30373494 40497992 50622490 60746988 65809237 75933735 96182731 101244980 121493976 131618474 151867470 192365462 197427711 202489960 263236948 288548193 303734940 329046185 384730924 394855422 480913655 526473896 577096386 607469880 658092370 769461848 789710844 961827310 987138555 1154192772 1250375503 1316184740 1442740965 1579421688 1923654620 1974277110 2308385544 2500751006 2632369480 2885481930 3751126509 3847309240 3948554220 5001502012 5770963860 6251877515 7502253018 7897108440 10003004024 11541927720 12503755030 15004506036 18755632545 25007510060 30009012072 37511265090 50015020120 75022530180 150045060360