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12713157124128 = 25345983131651
BaseRepresentation
bin1011100100000000001100…
…1101101110000000100000
31200000100212210000122210000
42321000003031232000200
53131243021210433003
643012202130140000
72451331612364346
oct271000315560040
950010783018700
1012713157124128
11406168a8465aa
121513a8a721600
13712acb952c76
1431d46a46d996
15170a721151a3
hexb900336e020

12713157124128 has 120 divisors (see below), whose sum is σ = 38022754991760. Its totient is φ = 4165893244800.

The previous prime is 12713157124123. The next prime is 12713157124147. The reversal of 12713157124128 is 82142175131721.

12713157124128 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 31 + 571 + 2 + 41 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12713157124123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41412898 + ... + 41718753.

It is an arithmetic number, because the mean of its divisors is an integer number (316856291598).

Almost surely, 212713157124128 is an apocalyptic number.

12713157124128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12713157124128 is an abundant number, since it is smaller than the sum of its proper divisors (25309597867632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12713157124128 is an equidigital number, since it uses as much as digits as its factorization.

12713157124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83131732 (or 83131715 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The spelling of 12713157124128 in words is "twelve trillion, seven hundred thirteen billion, one hundred fifty-seven million, one hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 25488 38232 50976 76464 152928 83131651 166263302 249394953 332526604 498789906 665053208 748184859 997579812 1330106416 1496369718 1995159624 2244554577 2660212832 2992739436 3990319248 4489109154 4904767409 5985478872 6733663731 7980638496 8978218308 9809534818 11970957744 13467327462 14714302227 17956436616 19619069636 23941915488 26934654924 29428604454 35912873232 39238139272 44142906681 53869309848 58857208908 71825746464 78476278544 88285813362 107738619696 117714417816 132428720043 156952557088 176571626724 215477239392 235428835632 264857440086 353143253448 397286160129 470857671264 529714880172 706286506896 794572320258 1059429760344 1412573013792 1589144640516 2118859520688 3178289281032 4237719041376 6356578562064 12713157124128