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155413859328 = 21033713223277
BaseRepresentation
bin1001000010111101100…
…0110100110000000000
3112212011001121001201000
42100233120310300000
510021241421444303
6155221322212000
714141205002460
oct2205730646000
9485131531630
10155413859328
115aa02087862
1226153954000
131186a092a10
1477447c3ba0
154099035da3
hex242f634c00

155413859328 has 704 divisors, whose sum is σ = 571069112320. Its totient is φ = 40657158144.

The previous prime is 155413859317. The next prime is 155413859389. The reversal of 155413859328 is 823958314551.

155413859328 is a `hidden beast` number, since 1 + 5 + 5 + 41 + 3 + 8 + 593 + 2 + 8 = 666.

It is a super-2 number, since 2×1554138593282 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561060726 + ... + 561061002.

Almost surely, 2155413859328 is an apocalyptic number.

155413859328 is a gapful number since it is divisible by the number (18) 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 155413859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534556160).

155413859328 is an abundant number, since it is smaller than the sum of its proper divisors (415655252992).

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

155413859328 is a wasteful number, since it uses less digits than its factorization.

155413859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 525 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 155413859328 in words is "one hundred fifty-five billion, four hundred thirteen million, eight hundred fifty-nine thousand, three hundred twenty-eight".