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56577461000 = 235356577461
BaseRepresentation
bin110100101100010001…
…111000101100001000
312102000222110210212112
4310230101320230020
51411332312223000
641554043201452
74042020324614
oct645421705410
9172028423775
1056577461000
1121aa3557935
12ab6b816288
135448672398
142a4a0da344
151712047235
hexd2c478b08

56577461000 has 32 divisors (see below), whose sum is σ = 132391261080. Its totient is φ = 22630984000.

The previous prime is 56577460969. The next prime is 56577461011. The reversal of 56577461000 is 16477565.

It can be written as a sum of positive squares in 4 ways, for example, as 3078696196 + 53498764804 = 55486^2 + 231298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28287731 + ... + 28289730.

Almost surely, 256577461000 is an apocalyptic number.

56577461000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56577461000 is an abundant number, since it is smaller than the sum of its proper divisors (75813800080).

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

56577461000 is a wasteful number, since it uses less digits than its factorization.

56577461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56577482 (or 56577468 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 56577461000 in words is "fifty-six billion, five hundred seventy-seven million, four hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 56577461 113154922 226309844 282887305 452619688 565774610 1131549220 1414436525 2263098440 2828873050 5657746100 7072182625 11315492200 14144365250 28288730500 56577461000