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56610864400 = 2452141527161
BaseRepresentation
bin110100101110010001…
…010011110100010000
312102010022022212201111
4310232101103310100
51411414340130100
642001235143104
74042604256616
oct645621236420
9172108285644
1056610864400
11220103a2352
12ab7aa44a94
1354525694cc
142a507136b6
151714e446ba
hexd2e453d10

56610864400 has 30 divisors (see below), whose sum is σ = 136007602682. Its totient is φ = 22644345600.

The previous prime is 56610864383. The next prime is 56610864403. The reversal of 56610864400 is 446801665.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 771283984 + 55839580416 = 27772^2 + 236304^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (56610864403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70763181 + ... + 70763980.

Almost surely, 256610864400 is an apocalyptic number.

56610864400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56610864400 is an abundant number, since it is smaller than the sum of its proper divisors (79396738282).

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

56610864400 is a wasteful number, since it uses less digits than its factorization.

56610864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141527179 (or 141527168 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 56610864400 in words is "fifty-six billion, six hundred ten million, eight hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 141527161 283054322 566108644 707635805 1132217288 1415271610 2264434576 2830543220 3538179025 5661086440 7076358050 11322172880 14152716100 28305432200 56610864400