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57653806401 = 332135326163
BaseRepresentation
bin110101101100011011…
…110100010101000001
312111210222210211012000
4311230123310111001
51421033333301101
642252533054213
74110500161062
oct655433642501
9174728724160
1057653806401
11224a6086094
12b210187369
13558a660359
142b0d03c569
1517767a9486
hexd6c6f4541

57653806401 has 8 divisors (see below), whose sum is σ = 85413046560. Its totient is φ = 38435870916.

The previous prime is 57653806393. The next prime is 57653806423. The reversal of 57653806401 is 10460835675.

57653806401 is a `hidden beast` number, since 5 + 76 + 538 + 0 + 6 + 40 + 1 = 666.

57653806401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57653806401 - 23 = 57653806393 is a prime.

It is a super-2 number, since 2×576538064012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57653806601) 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, 1067663055 + ... + 1067663108.

It is an arithmetic number, because the mean of its divisors is an integer number (10676630820).

Almost surely, 257653806401 is an apocalyptic number.

It is an amenable number.

57653806401 is a deficient number, since it is larger than the sum of its proper divisors (27759240159).

57653806401 is a wasteful number, since it uses less digits than its factorization.

57653806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135326172 (or 2135326166 counting only the distinct ones).

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

The spelling of 57653806401 in words is "fifty-seven billion, six hundred fifty-three million, eight hundred six thousand, four hundred one".

Divisors: 1 3 9 27 2135326163 6405978489 19217935467 57653806401