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13009959432324 = 22327136311401809
BaseRepresentation
bin1011110101010001111000…
…0000101011000010000100
31201001201222102221010000100
42331110132000223002010
53201123344103313244
643400405353444100
72511636631362261
oct275243600530204
951051872833010
1013009959432324
114166546a266a8
121561501110630
13734aac14083a
1432d984a28268
15178643bceb69
hexbd51e02b084

13009959432324 has 72 divisors (see below), whose sum is σ = 33358681923840. Its totient is φ = 4274392953600.

The previous prime is 13009959432317. The next prime is 13009959432347. The reversal of 13009959432324 is 42323495990031.

13009959432324 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 9 + 9 + 594 + 3 + 23 + 24 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8579932 + ... + 9981740.

It is an arithmetic number, because the mean of its divisors is an integer number (463315026720).

Almost surely, 213009959432324 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 13009959432324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679340961920).

13009959432324 is an abundant number, since it is smaller than the sum of its proper divisors (20348722491516).

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

13009959432324 is a wasteful number, since it uses less digits than its factorization.

13009959432324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405521 (or 1405516 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 13009959432324 in words is "thirteen trillion, nine billion, nine hundred fifty-nine million, four hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3631 7262 10893 14524 21786 32679 43572 65358 130716 257801 515602 773403 1031204 1401809 1546806 2320209 2803618 3093612 4205427 4640418 5607236 8410854 9280836 12616281 16821708 25232562 50465124 99528439 199056878 298585317 398113756 597170634 895755951 1194341268 1791511902 3583023804 5089968479 10179936958 15269905437 20359873916 30539810874 45809716311 61079621748 91619432622 183238865244 361387762009 722775524018 1084163286027 1445551048036 2168326572054 3252489858081 4336653144108 6504979716162 13009959432324