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56610265012740 = 22325314501472293
BaseRepresentation
bin11001101111100100110101…
…01111001001101000000100
321102102212222200222112210100
430313302122233021220010
524410000310320401430
6320222221405324100
714631646066102215
oct1467623257115004
9242385880875710
1056610265012740
111704630785603a
126423547266630
13257842c2984ba
14dd9d46aa740c
15682869c20960
hex337c9abc9a04

56610265012740 has 36 divisors (see below), whose sum is σ = 171717803872524. Its totient is φ = 15096070670016.

The previous prime is 56610265012739. The next prime is 56610265012793. The reversal of 56610265012740 is 4721056201665.

56610265012740 is a `hidden beast` number, since 5 + 6 + 61 + 0 + 26 + 501 + 27 + 40 = 666.

56610265012740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24250641156036 + 32359623856704 = 4924494^2 + 5688552^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157250735967 + ... + 157250736326.

It is an arithmetic number, because the mean of its divisors is an integer number (4769938996459).

Almost surely, 256610265012740 is an apocalyptic number.

It is an amenable number.

56610265012740 is an abundant number, since it is smaller than the sum of its proper divisors (115107538859784).

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

56610265012740 is a wasteful number, since it uses less digits than its factorization.

56610265012740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314501472308 (or 314501472303 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56610265012740 in words is "fifty-six trillion, six hundred ten billion, two hundred sixty-five million, twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 314501472293 629002944586 943504416879 1258005889172 1572507361465 1887008833758 2830513250637 3145014722930 3774017667516 4717522084395 5661026501274 6290029445860 9435044168790 11322053002548 14152566253185 18870088337580 28305132506370 56610265012740