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155793752064 = 21932137241
BaseRepresentation
bin1001000100011000001…
…0000000000000000000
3112220010112102121120100
42101012002000000000
510023031200031224
6155323132442400
714153500020456
oct2210602000000
9486115377510
10155793752064
11600875698a5
122623b019400
13118ca9b4112
14777d0329d6
1540bc576ac9
hex2446080000

155793752064 has 240 divisors, whose sum is σ = 455236739100. Its totient is φ = 51338280960.

The previous prime is 155793752057. The next prime is 155793752083. The reversal of 155793752064 is 460257397551.

It is a happy number.

155793752064 is a `hidden beast` number, since 1 + 5 + 57 + 9 + 3 + 7 + 520 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151016177664 + 4777574400 = 388608^2 + 69120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155793752064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646446984 + ... + 646447224.

Almost surely, 2155793752064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155793752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227618369550).

155793752064 is an abundant number, since it is smaller than the sum of its proper divisors (299442987036).

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

155793752064 is an frugal number, since it uses more digits than its factorization.

155793752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 155793752064 in words is "one hundred fifty-five billion, seven hundred ninety-three million, seven hundred fifty-two thousand, sixty-four".