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57876004961 = 295557359137
BaseRepresentation
bin110101111001101011…
…011100000001100001
312112101110220200022022
4311321223130001201
51422012224124321
642330551351225
74116135632225
oct657153340141
9175343820268
1057876004961
11225aa550165
12b272682515
1355c46ba6a8
142b3075c785
15178b04adab
hexd79adc061

57876004961 has 8 divisors (see below), whose sum is σ = 59882670120. Its totient is φ = 55870069248.

The previous prime is 57876004871. The next prime is 57876004973. The reversal of 57876004961 is 16940067875.

57876004961 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 4 ways, for example, as 24049806400 + 33826198561 = 155080^2 + 183919^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57876004961 - 210 = 57876003937 is a prime.

It is a super-2 number, since 2×578760049612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57876004981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18416 + ... + 340721.

It is an arithmetic number, because the mean of its divisors is an integer number (7485333765).

Almost surely, 257876004961 is an apocalyptic number.

It is an amenable number.

57876004961 is a deficient number, since it is larger than the sum of its proper divisors (2006665159).

57876004961 is a wasteful number, since it uses less digits than its factorization.

57876004961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364723.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 57876004961 in words is "fifty-seven billion, eight hundred seventy-six million, four thousand, nine hundred sixty-one".

Divisors: 1 29 5557 161153 359137 10414973 1995724309 57876004961