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57510540001 = 297926993319
BaseRepresentation
bin110101100011111001…
…010011001011100001
312111110000020010122001
4311203321103023201
51420240144240001
642230414244001
74104110344555
oct654371231341
9174400203561
1057510540001
1122432222a02
12b1901b6601
135566a7b335
142ad7dc7865
151768e0a001
hexd63e532e1

57510540001 has 16 divisors (see below), whose sum is σ = 60471360000. Its totient is φ = 54620145216.

The previous prime is 57510539959. The next prime is 57510540053. The reversal of 57510540001 is 10004501575.

It is a cyclic number.

It is not a de Polignac number, because 57510540001 - 235 = 23150801633 is a prime.

It is a super-2 number, since 2×575105400012 (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 (57510540301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569620 + ... + 662938.

It is an arithmetic number, because the mean of its divisors is an integer number (3779460000).

Almost surely, 257510540001 is an apocalyptic number.

It is an amenable number.

57510540001 is a deficient number, since it is larger than the sum of its proper divisors (2960819999).

57510540001 is a wasteful number, since it uses less digits than its factorization.

57510540001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93696.

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 57510540001 in words is "fifty-seven billion, five hundred ten million, five hundred forty thousand, one".

Divisors: 1 29 79 269 2291 7801 21251 93319 616279 2706251 7372201 25102811 213793829 727981519 1983122069 57510540001