Search a number
-
+
115054523820 = 22345212933359
BaseRepresentation
bin110101100100111001…
…0001011010110101100
3101222222100101101120000
41223021302023112230
53341112424230240
6124504425424300
711212105213335
oct1531162132654
9358870341500
10115054523820
1144881308725
121a36b63b090
13ab07738cc2
1457d65d928c
152ed5c1e430
hex1ac9c8b5ac

115054523820 has 120 divisors (see below), whose sum is σ = 361110657600. Its totient is φ = 30665875968.

The previous prime is 115054523819. The next prime is 115054523849. The reversal of 115054523820 is 28325450511.

115054523820 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 54 + 523 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 3432301 + ... + 3465659.

It is an arithmetic number, because the mean of its divisors is an integer number (3009255480).

Almost surely, 2115054523820 is an apocalyptic number.

115054523820 is a gapful number since it is divisible by the number (10) 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 115054523820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180555328800).

115054523820 is an abundant number, since it is smaller than the sum of its proper divisors (246056133780).

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

115054523820 is a wasteful number, since it uses less digits than its factorization.

115054523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35509 (or 35498 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 115054523820 in words is "one hundred fifteen billion, fifty-four million, five hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2129 4258 6387 8516 10645 12774 19161 21290 25548 31935 33359 38322 42580 57483 63870 66718 76644 95805 100077 114966 127740 133436 166795 172449 191610 200154 229932 287415 300231 333590 344898 383220 400308 500385 574830 600462 667180 689796 862245 900693 1000770 1149660 1200924 1501155 1724490 1801386 2001540 2702079 3002310 3448980 3602772 4503465 5404158 6004620 9006930 10808316 13510395 18013860 27020790 54041580 71021311 142042622 213063933 284085244 355106555 426127866 639191799 710213110 852255732 1065319665 1278383598 1420426220 1917575397 2130639330 2556767196 3195958995 3835150794 4261278660 5752726191 6391917990 7670301588 9587876985 11505452382 12783835980 19175753970 23010904764 28763630955 38351507940 57527261910 115054523820