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56944425600 = 273552671093
BaseRepresentation
bin110101000010001001…
…101111101010000000
312102222112222112200000
4311002021233222000
51413110233104400
642054312400000
74054064426346
oct650211575200
9172875875600
1056944425600
1122171709867
12b0526a6000
1354a66b81ba
142a82b41996
151734382600
hexd4226fa80

56944425600 has 576 divisors, whose sum is σ = 214057028640. Its totient is φ = 14944849920.

The previous prime is 56944425599. The next prime is 56944425613. The reversal of 56944425600 is 652444965.

56944425600 is a `hidden beast` number, since 5 + 6 + 9 + 44 + 42 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52098654 + ... + 52099746.

Almost surely, 256944425600 is an apocalyptic number.

56944425600 is a gapful number since it is divisible by the number (50) 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 56944425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107028514320).

56944425600 is an abundant number, since it is smaller than the sum of its proper divisors (157112603040).

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

56944425600 is a wasteful number, since it uses less digits than its factorization.

56944425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56944425600 in words is "fifty-six billion, nine hundred forty-four million, four hundred twenty-five thousand, six hundred".