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56790429696 = 212367111319
BaseRepresentation
bin110100111000111110…
…010011000000000000
312102120211012202000000
4310320332103000000
51412301322222241
642031132000000
74050214454610
oct647076230000
9172524182000
1056790429696
11220a2798420
12b00b000000
13548081a570
142a6a4d6a40
151725ab3eb6
hexd38f93000

56790429696 has 1456 divisors, whose sum is σ = 240650269440. Its totient is φ = 12899450880.

The previous prime is 56790429679. The next prime is 56790429739. The reversal of 56790429696 is 69692409765.

56790429696 is a `hidden beast` number, since 5 + 67 + 90 + 429 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2988969975 + ... + 2988969993.

Almost surely, 256790429696 is an apocalyptic number.

56790429696 is a gapful number since it is divisible by the number (56) 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 56790429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120325134720).

56790429696 is an abundant number, since it is smaller than the sum of its proper divisors (183859839744).

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

56790429696 is a wasteful number, since it uses less digits than its factorization.

56790429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 56790429696 in words is "fifty-six billion, seven hundred ninety million, four hundred twenty-nine thousand, six hundred ninety-six".