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57356065375 = 537612110709
BaseRepresentation
bin110101011010101100…
…000001101001011111
312111001020120000021121
4311122230001221133
51414431123043000
642203215311411
74100223340330
oct653254015137
9174036500247
1057356065375
1122363004924
12b14851b567
135540a7382b
142ac1696287
15175a594b1a
hexd5ab01a5f

57356065375 has 32 divisors (see below), whose sum is σ = 81827141760. Its totient is φ = 39319776000.

The previous prime is 57356065369. The next prime is 57356065391.

57356065375 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-57356065375 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5350521 + ... + 5361229.

It is an arithmetic number, because the mean of its divisors is an integer number (2557098180).

Almost surely, 257356065375 is an apocalyptic number.

57356065375 is a deficient number, since it is larger than the sum of its proper divisors (24471076385).

57356065375 is a wasteful number, since it uses less digits than its factorization.

57356065375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852 (or 16842 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 52.

The spelling of 57356065375 in words is "fifty-seven billion, three hundred fifty-six million, sixty-five thousand, three hundred seventy-five".

Divisors: 1 5 7 25 35 125 175 875 6121 10709 30605 42847 53545 74963 153025 214235 267725 374815 765125 1071175 1338625 1874075 5355875 9370375 65549789 327748945 458848523 1638744725 2294242615 8193723625 11471213075 57356065375