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13992078684 = 22317593493331
BaseRepresentation
bin11010000011111111…
…00010110101011100
31100010010120020120110
431001333202311130
5212123433004214
610232230450020
71003510464213
oct150177426534
940103506513
1013992078684
115a301888a1
122865b03910
13141ca974cc
1496a41407a
1556d5bb159
hex341fe2d5c

13992078684 has 96 divisors (see below), whose sum is σ = 35265888000. Its totient is φ = 4301614080.

The previous prime is 13992078677. The next prime is 13992078713. The reversal of 13992078684 is 48687029931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4198899 + ... + 4202229.

It is an arithmetic number, because the mean of its divisors is an integer number (367353000).

Almost surely, 213992078684 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 13992078684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632944000).

13992078684 is an abundant number, since it is smaller than the sum of its proper divisors (21273809316).

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

13992078684 is a wasteful number, since it uses less digits than its factorization.

13992078684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 13992078684 in words is "thirteen billion, nine hundred ninety-two million, seventy-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 349 354 698 708 1003 1047 1396 2006 2094 3009 3331 4012 4188 5933 6018 6662 9993 11866 12036 13324 17799 19986 20591 23732 35598 39972 41182 56627 61773 71196 82364 113254 123546 169881 196529 226508 247092 339762 350047 393058 589587 679524 700094 786116 1050141 1162519 1179174 1400188 2100282 2325038 2358348 3340993 3487557 4200564 4650076 6681986 6975114 10022979 13363972 13950228 19762823 20045958 39525646 40091916 59288469 68588621 79051292 118576938 137177242 205765863 237153876 274354484 411531726 823063452 1166006557 2332013114 3498019671 4664026228 6996039342 13992078684