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13239395424 = 2532231998701
BaseRepresentation
bin11000101010010000…
…10010010001100000
31021011200020222020200
430111020102101200
5204103241123144
610025422105200
7646041001323
oct142510222140
937150228220
1013239395424
115684325812
122695a1b200
13132cb705b8
148d84847ba
1552748dc69
hex315212460

13239395424 has 72 divisors (see below), whose sum is σ = 39286486512. Its totient is φ = 4221254400.

The previous prime is 13239395419. The next prime is 13239395467. The reversal of 13239395424 is 42459393231.

13239395424 is a `hidden beast` number, since 1 + 3 + 239 + 395 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13239395424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992727 + ... + 1005974.

It is an arithmetic number, because the mean of its divisors is an integer number (545645646).

Almost surely, 213239395424 is an apocalyptic number.

It is an amenable number.

13239395424 is an abundant number, since it is smaller than the sum of its proper divisors (26047091088).

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

13239395424 is a wasteful number, since it uses less digits than its factorization.

13239395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998740 (or 1998729 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 13239395424 in words is "thirteen billion, two hundred thirty-nine million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 1998701 3997402 5996103 7994804 11992206 15989608 17988309 23984412 31979216 35976618 45970123 47968824 63958432 71953236 91940246 95937648 137910369 143906472 183880492 191875296 275820738 287812944 367760984 413731107 551641476 575625888 735521968 827462214 1103282952 1471043936 1654924428 2206565904 3309848856 4413131808 6619697712 13239395424