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56693879424 = 2733713712539
BaseRepresentation
bin110100110011001101…
…111111001010000000
312102100002112110221000
4310303031333022000
51412102113120144
642013402332000
74044633011130
oct646315771200
9172302473830
1056693879424
1122053242806
12aba27ba000
135466814020
142a5b762ac0
15171c391769
hexd3337f280

56693879424 has 512 divisors, whose sum is σ = 208922112000. Its totient is φ = 14735831040.

The previous prime is 56693879413. The next prime is 56693879447. The reversal of 56693879424 is 42497839665.

56693879424 is a `hidden beast` number, since 56 + 6 + 93 + 8 + 79 + 424 = 666.

56693879424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 22327947 + ... + 22330485.

It is an arithmetic number, because the mean of its divisors is an integer number (408051000).

Almost surely, 256693879424 is an apocalyptic number.

56693879424 is a gapful number since it is divisible by the number (54) 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 56693879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461056000).

56693879424 is an abundant number, since it is smaller than the sum of its proper divisors (152228232576).

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

56693879424 is a wasteful number, since it uses less digits than its factorization.

56693879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2635 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 56693879424 in words is "fifty-six billion, six hundred ninety-three million, eight hundred seventy-nine thousand, four hundred twenty-four".