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12504660642 = 2326734729881
BaseRepresentation
bin10111010010101010…
…11111101010100010
31012021110201120121100
423221111133222202
5201102143120032
65424454135230
7621606601365
oct135125375242
935243646540
1012504660642
115337611691
12250b951516
13124388c0a6
14868a680dc
154d2c0997c
hex2e955faa2

12504660642 has 48 divisors (see below), whose sum is σ = 27577978272. Its totient is φ = 4094038080.

The previous prime is 12504660611. The next prime is 12504660647. The reversal of 12504660642 is 24606640521.

12504660642 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 4 + 6 + 6 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12504660597 and 12504660606.

It is not an unprimeable number, because it can be changed into a prime (12504660647) 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 23 ways as a sum of consecutive naturals, for example, 403542 + ... + 433422.

It is an arithmetic number, because the mean of its divisors is an integer number (574541214).

Almost surely, 212504660642 is an apocalyptic number.

12504660642 is an abundant number, since it is smaller than the sum of its proper divisors (15073317630).

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

12504660642 is a wasteful number, since it uses less digits than its factorization.

12504660642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30303 (or 30300 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12504660642 in words is "twelve billion, five hundred four million, six hundred sixty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 67 134 201 347 402 603 694 1041 1206 2082 3123 6246 23249 29881 46498 59762 69747 89643 139494 179286 209241 268929 418482 537858 2002027 4004054 6006081 10368707 12012162 18018243 20737414 31106121 36036486 62212242 93318363 186636726 694703369 1389406738 2084110107 4168220214 6252330321 12504660642