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56719810560 = 213357234761
BaseRepresentation
bin110100110100110000…
…111010000000000000
312102101220022220202110
4310310300322000000
51412130232414220
642020130215320
74045366302120
oct646460720000
9172356286673
1056719810560
11220669441a6
12abab424540
13546bcc2caa
142a60d92c80
15171e7b4be0
hexd34c3a000

56719810560 has 896 divisors, whose sum is σ = 224666763264. Its totient is φ = 11938037760.

The previous prime is 56719810519. The next prime is 56719810571. The reversal of 56719810560 is 6501891765.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 929832930 + ... + 929832990.

Almost surely, 256719810560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56719810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112333381632).

56719810560 is an abundant number, since it is smaller than the sum of its proper divisors (167946952704).

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

56719810560 is a wasteful number, since it uses less digits than its factorization.

56719810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 56719810560 in words is "fifty-six billion, seven hundred nineteen million, eight hundred ten thousand, five hundred sixty".