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5715435601 = 431098831381
BaseRepresentation
bin1010101001010101…
…01010000001010001
3112202022121012201001
411110222222001101
543201122414401
62343045342001
7261430254361
oct52452520121
915668535631
105715435601
11247323a3a7
121136107901
13701143975
143c30d69a1
15236b77601
hex154aaa051

5715435601 has 16 divisors (see below), whose sum is σ = 5912969920. Its totient is φ = 5521037760.

The previous prime is 5715435569. The next prime is 5715435613. The reversal of 5715435601 is 1065345175.

It is a 3-Lehmer number, since φ(5715435601) divides (5715435601-1)3.

It is a cyclic number.

It is not a de Polignac number, because 5715435601 - 25 = 5715435569 is a prime.

It is the 75601-st Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5715430601) by changing a digit.

It is a nontrivial repunit in base 75600.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4137931 + ... + 4139311.

It is an arithmetic number, because the mean of its divisors is an integer number (369560620).

Almost surely, 25715435601 is an apocalyptic number.

It is an amenable number.

5715435601 is a deficient number, since it is larger than the sum of its proper divisors (197534319).

5715435601 is a wasteful number, since it uses less digits than its factorization.

5715435601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 5715435601 is about 75600.5000049603. The cubic root of 5715435601 is about 1787.9269823934.

The spelling of 5715435601 in words is "five billion, seven hundred fifteen million, four hundred thirty-five thousand, six hundred one".

Divisors: 1 43 109 883 1381 4687 37969 59383 96247 150529 1219423 4138621 6472747 52435189 132917107 5715435601