Search a number
-
+
12563632116 = 2233716618561
BaseRepresentation
bin10111011001101100…
…11100111111110100
31012102120200122021000
423230312130333310
5201212242211431
65434402123300
7623224053030
oct135466347764
935376618230
1012563632116
11536792a842
122527650530
131252b68b59
148728191c0
154d7ea79e6
hex2ecd9cff4

12563632116 has 48 divisors (see below), whose sum is σ = 37225578880. Its totient is φ = 3589608960.

The previous prime is 12563632073. The next prime is 12563632117. The reversal of 12563632116 is 61123636521.

12563632116 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 3 + 632 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12563632117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8308525 + ... + 8310036.

Almost surely, 212563632116 is an apocalyptic number.

It is an amenable number.

12563632116 is an abundant number, since it is smaller than the sum of its proper divisors (24661946764).

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

12563632116 is a wasteful number, since it uses less digits than its factorization.

12563632116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618581 (or 16618573 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 12563632116 in words is "twelve billion, five hundred sixty-three million, six hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 16618561 33237122 49855683 66474244 99711366 116329927 149567049 199422732 232659854 299134098 348989781 448701147 465319708 598268196 697979562 897402294 1046969343 1395959124 1794804588 2093938686 3140908029 4187877372 6281816058 12563632116