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57514807305 = 32512601101429
BaseRepresentation
bin110101100100001001…
…100101000000001001
312111110022020221021100
4311210021211000021
51420242242313210
642231045532013
74104161536644
oct654411450011
9174408227240
1057514807305
1122434677aaa
12b191714009
135567913777
142ad87b8a5b
15176949e5c0
hexd64265009

57514807305 has 24 divisors (see below), whose sum is σ = 99701227080. Its totient is φ = 30671827200.

The previous prime is 57514807297. The next prime is 57514807321. The reversal of 57514807305 is 50370841575.

It is a happy number.

57514807305 is a `hidden beast` number, since 57 + 51 + 480 + 73 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8898526224 + 48616281081 = 94332^2 + 220491^2 .

It is not a de Polignac number, because 57514807305 - 23 = 57514807297 is a prime.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516331 + ... + 617759.

It is an arithmetic number, because the mean of its divisors is an integer number (4154217795).

Almost surely, 257514807305 is an apocalyptic number.

It is an amenable number.

57514807305 is a deficient number, since it is larger than the sum of its proper divisors (42186419775).

57514807305 is a wasteful number, since it uses less digits than its factorization.

57514807305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114041 (or 114038 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 57514807305 in words is "fifty-seven billion, five hundred fourteen million, eight hundred seven thousand, three hundred five".

Divisors: 1 3 5 9 15 45 12601 37803 63005 101429 113409 189015 304287 507145 567045 912861 1521435 4564305 1278106829 3834320487 6390534145 11502961461 19171602435 57514807305