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13992708384 = 2532198330809
BaseRepresentation
bin11010000100000011…
…11100100100100000
31100010011202020100200
431002001330210200
5212124113132014
610232252145200
71003516026114
oct150201744440
940104666320
1013992708384
115a30578a06
122866168200
13141cc58005
1496a539744
1556d692a09
hex34207c920

13992708384 has 144 divisors (see below), whose sum is σ = 42392095200. Its totient is φ = 4365370368.

The previous prime is 13992708371. The next prime is 13992708397. The reversal of 13992708384 is 48380729931.

It is an interprime number because it is at equal distance from previous prime (13992708371) and next prime (13992708397).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 13992708384.

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, 438772 + ... + 469580.

It is an arithmetic number, because the mean of its divisors is an integer number (294389550).

Almost surely, 213992708384 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 13992708384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21196047600).

13992708384 is an abundant number, since it is smaller than the sum of its proper divisors (28399386816).

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

13992708384 is a wasteful number, since it uses less digits than its factorization.

13992708384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30927 (or 30916 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13992708384 in words is "thirteen billion, nine hundred ninety-two million, seven hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 83 96 114 144 152 166 171 228 249 288 304 332 342 456 498 608 664 684 747 912 996 1328 1368 1494 1577 1824 1992 2656 2736 2988 3154 3984 4731 5472 5976 6308 7968 9462 11952 12616 14193 18924 23904 25232 28386 30809 37848 50464 56772 61618 75696 92427 113544 123236 151392 184854 227088 246472 277281 369708 454176 492944 554562 585371 739416 985888 1109124 1170742 1478832 1756113 2218248 2341484 2557147 2957664 3512226 4436496 4682968 5114294 5268339 7024452 7671441 8872992 9365936 10228588 10536678 14048904 15342882 18731872 20457176 21073356 23014323 28097808 30685764 40914352 42146712 46028646 48585793 56195616 61371528 81828704 84293424 92057292 97171586 122743056 145757379 168586848 184114584 194343172 245486112 291514758 368229168 388686344 437272137 583029516 736458336 777372688 874544274 1166059032 1554745376 1749088548 2332118064 3498177096 4664236128 6996354192 13992708384