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155831195520 = 2735572112132
BaseRepresentation
bin1001000100100001000…
…0110101011110000000
3112220020010212221100000
42101020100311132000
510023120241224040
6155330551200000
714154433210200
oct2211020653600
9486203787300
10155831195520
11600a6713700
122624b676000
1311905694100
147783dbc400
1540c09c1130
hex2448435780

155831195520 has 2592 divisors, whose sum is σ = 772627925160. Its totient is φ = 29889699840.

The previous prime is 155831195483. The next prime is 155831195551. The reversal of 155831195520 is 25591138551.

155831195520 is a `hidden beast` number, since 1 + 5 + 5 + 8 + 3 + 119 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1558311955202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 11987015034 + ... + 11987015046.

Almost surely, 2155831195520 is an apocalyptic number.

155831195520 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 155831195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386313962580).

155831195520 is an abundant number, since it is smaller than the sum of its proper divisors (616796729640).

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

155831195520 is a wasteful number, since it uses less digits than its factorization.

155831195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 155831195520 in words is "one hundred fifty-five billion, eight hundred thirty-one million, one hundred ninety-five thousand, five hundred twenty".