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56985524730 = 23351723618849
BaseRepresentation
bin110101000100100110…
…100001100111111010
312110002102022121002000
4311010212201213322
51413201243242410
642102341321430
74055103653031
oct650446414772
9173072277060
1056985524730
1122192930192
12b064406276
1354b2078104
142a8839d718
151737c9edc0
hexd449a19fa

56985524730 has 256 divisors, whose sum is σ = 170667648000. Its totient is φ = 13454622720.

The previous prime is 56985524689. The next prime is 56985524749. The reversal of 56985524730 is 3742558965.

56985524730 is a `hidden beast` number, since 5 + 6 + 9 + 85 + 524 + 7 + 30 = 666.

56985524730 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6435346 + ... + 6444194.

It is an arithmetic number, because the mean of its divisors is an integer number (666670500).

Almost surely, 256985524730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56985524730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85333824000).

56985524730 is an abundant number, since it is smaller than the sum of its proper divisors (113682123270).

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

56985524730 is a wasteful number, since it uses less digits than its factorization.

56985524730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 56985524730 in words is "fifty-six billion, nine hundred eighty-five million, five hundred twenty-four thousand, seven hundred thirty".