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155807991150 = 235271729297107
BaseRepresentation
bin1001000100011011100…
…0010100010101101110
3112220011112020000220220
42101012320110111232
510023043321204100
6155324401552210
714154032034030
oct2210670242556
9486145200826
10155807991150
1160094604939
1226243945666
131190092b306
147780c9bc50
1540bd93aaa0
hex2446e1456e

155807991150 has 576 divisors, whose sum is σ = 493825393152. Its totient is φ = 31729582080.

The previous prime is 155807991107. The next prime is 155807991169. The reversal of 155807991150 is 51199708551.

It is a super-2 number, since 2×1558079911502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 155807991093 and 155807991102.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1456149397 + ... + 1456149503.

It is an arithmetic number, because the mean of its divisors is an integer number (857335752).

Almost surely, 2155807991150 is an apocalyptic number.

155807991150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155807991150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246912696576).

155807991150 is an abundant number, since it is smaller than the sum of its proper divisors (338017402002).

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

155807991150 is a wasteful number, since it uses less digits than its factorization.

155807991150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 51.

The spelling of 155807991150 in words is "one hundred fifty-five billion, eight hundred seven million, nine hundred ninety-one thousand, one hundred fifty".