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12632949126 = 2327202749463
BaseRepresentation
bin10111100001111101…
…11000000110000110
31012121102010022022200
423300332320012012
5201333013333001
65445315535330
7625025203320
oct136076700606
935542108280
1012632949126
1153a2a74726
1225468ba546
131264328835
1487bb00610
154de0eb086
hex2f0fb8186

12632949126 has 48 divisors (see below), whose sum is σ = 31297653504. Its totient is φ = 3607560432.

The previous prime is 12632949113. The next prime is 12632949139. The reversal of 12632949126 is 62194923621.

12632949126 is a `hidden beast` number, since 1 + 2 + 632 + 9 + 4 + 9 + 1 + 2 + 6 = 666.

12632949126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12632949113) and next prime (12632949139).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 230671 + ... + 280133.

It is an arithmetic number, because the mean of its divisors is an integer number (652034448).

Almost surely, 212632949126 is an apocalyptic number.

12632949126 is an abundant number, since it is smaller than the sum of its proper divisors (18664704378).

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

12632949126 is a wasteful number, since it uses less digits than its factorization.

12632949126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51505 (or 51502 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 12632949126 in words is "twelve billion, six hundred thirty-two million, nine hundred forty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2027 4054 6081 12162 14189 18243 28378 36486 42567 49463 85134 98926 127701 148389 255402 296778 346241 445167 692482 890334 1038723 2077446 3116169 6232338 100261501 200523002 300784503 601569006 701830507 902353509 1403661014 1804707018 2105491521 4210983042 6316474563 12632949126