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56230775424 = 2735171929193
BaseRepresentation
bin110100010111100111…
…011000101010000000
312101010211010100200000
4310113213120222000
51410130034303144
641455420400000
74030310463525
oct642747305200
9171124110600
1056230775424
112193589692a
12aa936a6000
1353c18a99a5
142a1605314c
1516e18b5769
hexd179d8a80

56230775424 has 768 divisors, whose sum is σ = 194476464000. Its totient is φ = 16052649984.

The previous prime is 56230775423. The next prime is 56230775449. The reversal of 56230775424 is 42457703265.

56230775424 is a `hidden beast` number, since 5 + 6 + 2 + 30 + 77 + 542 + 4 = 666.

It is a super-3 number, since 3×562307754243 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56230775424.

It is not an unprimeable number, because it can be changed into a prime (56230775423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291351072 + ... + 291351264.

Almost surely, 256230775424 is an apocalyptic number.

56230775424 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 56230775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97238232000).

56230775424 is an abundant number, since it is smaller than the sum of its proper divisors (138245688576).

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

56230775424 is a wasteful number, since it uses less digits than its factorization.

56230775424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 56230775424 in words is "fifty-six billion, two hundred thirty million, seven hundred seventy-five thousand, four hundred twenty-four".