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12972996157 = 11173110321727
BaseRepresentation
bin11000001010100000…
…00011011000111101
31020111002222111011011
430011100003120331
5203032041334112
65543144155221
7636324435142
oct140520033075
936432874134
1012972996157
115557a11030
122620768b11
1312b99086b4
148b0d3a3c9
1550ddbaaa7
hex30540363d

12972996157 has 32 divisors (see below), whose sum is σ = 15619129344. Its totient is φ = 10637049600.

The previous prime is 12972996151. The next prime is 12972996167. The reversal of 12972996157 is 75169927921.

It is a de Polignac number, because none of the positive numbers 2k-12972996157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972996151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586228 + ... + 607954.

It is an arithmetic number, because the mean of its divisors is an integer number (488097792).

Almost surely, 212972996157 is an apocalyptic number.

12972996157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12972996157 is a deficient number, since it is larger than the sum of its proper divisors (2646133187).

12972996157 is a wasteful number, since it uses less digits than its factorization.

12972996157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21889.

The product of its digits is 4286520, while the sum is 58.

The spelling of 12972996157 in words is "twelve billion, nine hundred seventy-two million, nine hundred ninety-six thousand, one hundred fifty-seven".

Divisors: 1 11 17 31 103 187 341 527 1133 1751 3193 5797 19261 21727 35123 54281 238997 369359 597091 673537 2237881 4062949 7408907 11450129 24616691 38043977 69374311 125951419 418483747 763117421 1179363287 12972996157