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657091274113 = 172329367157901
BaseRepresentation
bin10011000111111011011…
…00010010010110000001
32022211001211011021110001
421203331230102112001
541231210331232423
61221510310240001
765321222450221
oct11437554222601
92284054137401
10657091274113
1123374199186a
12a7422656001
1349c6a8b0001
1423b366d0081
151215c05acad
hex98fdb12581

657091274113 has 32 divisors (see below), whose sum is σ = 753078850560. Its totient is φ = 569592038400.

The previous prime is 657091274069. The next prime is 657091274131. The reversal of 657091274113 is 311472190756.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-657091274113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (657091274153) 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 31 ways as a sum of consecutive naturals, for example, 4082463 + ... + 4240363.

It is an arithmetic number, because the mean of its divisors is an integer number (23533714080).

Almost surely, 2657091274113 is an apocalyptic number.

It is an amenable number.

657091274113 is a deficient number, since it is larger than the sum of its proper divisors (95987576447).

657091274113 is a wasteful number, since it uses less digits than its factorization.

657091274113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158337.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 657091274113 in words is "six hundred fifty-seven billion, ninety-one million, two hundred seventy-four thousand, one hundred thirteen".

Divisors: 1 17 23 29 367 391 493 667 6239 8441 10643 11339 143497 157901 180931 244789 2684317 3631723 4161413 4579129 57949667 61739291 77845193 105319967 985144339 1332842341 1680540343 1790439439 22658319797 28569185831 38652427889 657091274113