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14961336156 = 22321340978163
BaseRepresentation
bin11011110111100001…
…11101111101011100
31102121200101121212100
431323300331331130
5221120100224111
610512333205100
71036520154564
oct157360757534
942550347770
1014961336156
116388314328
122a96630790
13154582c740
14a1d03bda4
155c8728756
hex37bc3df5c

14961336156 has 72 divisors (see below), whose sum is σ = 40828183760. Its totient is φ = 4592173824.

The previous prime is 14961336151. The next prime is 14961336179. The reversal of 14961336156 is 65163316941.

14961336156 is a `hidden beast` number, since 1 + 496 + 1 + 3 + 3 + 6 + 156 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961336151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152331 + ... + 230493.

Almost surely, 214961336156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14961336156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414091880).

14961336156 is an abundant number, since it is smaller than the sum of its proper divisors (25866847604).

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

14961336156 is a wasteful number, since it uses less digits than its factorization.

14961336156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78595 (or 78590 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 14961336156 in words is "fourteen billion, nine hundred sixty-one million, three hundred thirty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 818 1227 1636 2454 3681 4908 5317 7362 10634 14724 15951 21268 31902 47853 63804 78163 95706 156326 191412 234489 312652 468978 703467 937956 1016119 1406934 2032238 2813868 3048357 4064476 6096714 9145071 12193428 18290142 31968667 36580284 63937334 95906001 127874668 191812002 287718003 383624004 415592671 575436006 831185342 1150872012 1246778013 1662370684 2493556026 3740334039 4987112052 7480668078 14961336156