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12517648151 = 157229421827
BaseRepresentation
bin10111010100001110…
…00010011100010111
31012022101011102010012
423222013002130113
5201114004220101
65430040350435
7622125153011
oct135207023427
935271142105
1012517648151
115343982368
12251417541b
1312464886c8
1486a6891b1
154d3e22bbb
hex2ea1c2717

12517648151 has 16 divisors (see below), whose sum is σ = 12697777440. Its totient is φ = 12339250560.

The previous prime is 12517648147. The next prime is 12517648163. The reversal of 12517648151 is 15184671521.

12517648151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12517648151 - 22 = 12517648147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12517648099 and 12517648108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12517648141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15135800 + ... + 15136626.

It is an arithmetic number, because the mean of its divisors is an integer number (793611090).

Almost surely, 212517648151 is an apocalyptic number.

12517648151 is a deficient number, since it is larger than the sum of its proper divisors (180129289).

12517648151 is a wasteful number, since it uses less digits than its factorization.

12517648151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634.

The product of its digits is 67200, while the sum is 41.

The spelling of 12517648151 in words is "twelve billion, five hundred seventeen million, six hundred forty-eight thousand, one hundred fifty-one".

Divisors: 1 157 229 421 827 35953 66097 96409 129839 189383 348167 15136213 29733131 54662219 79730243 12517648151