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13993317984 = 253178574337
BaseRepresentation
bin11010000100001000…
…10001011001100000
31100010012220012120110
431002010101121200
5212124242133414
610232313211320
71003524145302
oct150204213140
940105805513
1013993317984
115a30954a08
122866400b40
13142010c619
1496a657972
1556d763459
hex342111660

13993317984 has 48 divisors (see below), whose sum is σ = 38893197168. Its totient is φ = 4390060032.

The previous prime is 13993317937. The next prime is 13993317997. The reversal of 13993317984 is 48971339931.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 4285537 + ... + 4288800.

It is an arithmetic number, because the mean of its divisors is an integer number (810274941).

Almost surely, 213993317984 is an apocalyptic number.

It is an amenable number.

13993317984 is an abundant number, since it is smaller than the sum of its proper divisors (24899879184).

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

13993317984 is a wasteful number, since it uses less digits than its factorization.

13993317984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574367 (or 8574359 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The spelling of 13993317984 in words is "thirteen billion, nine hundred ninety-three million, three hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 8574337 17148674 25723011 34297348 51446022 68594696 102892044 137189392 145763729 205784088 274378784 291527458 411568176 437291187 583054916 823136352 874582374 1166109832 1749164748 2332219664 3498329496 4664439328 6996658992 13993317984