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57517516801 = 1117269319121
BaseRepresentation
bin110101100100010011…
…111010100000000001
312111110111100121000001
4311210103322200001
51420243441014201
642231224000001
74104223553233
oct654423724001
9174414317001
1057517516801
1122436158758
12b192600001
135568351b14
142ad8cc2253
151769837301
hexd644fa801

57517516801 has 8 divisors (see below), whose sum is σ = 57593398824. Its totient is φ = 57441680640.

The previous prime is 57517516781. The next prime is 57517516811. The reversal of 57517516801 is 10861571575.

It can be written as a sum of positive squares in 4 ways, for example, as 4145428225 + 53372088576 = 64385^2 + 231024^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 57517516801 - 215 = 57517484033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57517516811) 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, 2998521 + ... + 3017641.

It is an arithmetic number, because the mean of its divisors is an integer number (7199174853).

Almost surely, 257517516801 is an apocalyptic number.

It is an amenable number.

57517516801 is a deficient number, since it is larger than the sum of its proper divisors (75882023).

57517516801 is a wasteful number, since it uses less digits than its factorization.

57517516801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22931.

The product of its (nonzero) digits is 294000, while the sum is 46.

The spelling of 57517516801 in words is "fifty-seven billion, five hundred seventeen million, five hundred sixteen thousand, eight hundred one".

Divisors: 1 1117 2693 19121 3008081 21358157 51492853 57517516801