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10274087257 = 713118016221
BaseRepresentation
bin10011001000110001…
…00010000101011001
3222112000111201011021
421210120202011121
5132020131243012
64415253202441
7512413205110
oct114430420531
928460451137
1010274087257
1143a24aa905
121ba8930421
13c79714795
146d670cc77
15401e9e007
hex264622159

10274087257 has 16 divisors (see below), whose sum is σ = 11839918464. Its totient is φ = 8732880000.

The previous prime is 10274087251. The next prime is 10274087267. The reversal of 10274087257 is 75278047201.

It is a cyclic number.

It is not a de Polignac number, because 10274087257 - 27 = 10274087129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10274087251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1648407 + ... + 1654627.

It is an arithmetic number, because the mean of its divisors is an integer number (739994904).

Almost surely, 210274087257 is an apocalyptic number.

It is an amenable number.

10274087257 is a deficient number, since it is larger than the sum of its proper divisors (1565831207).

10274087257 is a wasteful number, since it uses less digits than its factorization.

10274087257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160.

The product of its (nonzero) digits is 219520, while the sum is 43.

The spelling of 10274087257 in words is "ten billion, two hundred seventy-four million, eighty-seven thousand, two hundred fifty-seven".

Divisors: 1 7 131 917 1801 6221 12607 43547 235931 814951 1651517 5704657 11204021 78428147 1467726751 10274087257