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13783207164 = 22317199413779
BaseRepresentation
bin11001101011000101…
…10000110011111100
31022120120112110201020
430311202300303330
5211212000112124
610155405544140
7665363220306
oct146542606374
938516473636
1013783207164
115933296601
122807b75050
1313b87251ac
1494a7a2976
1555a0ad379
hex3358b0cfc

13783207164 has 96 divisors (see below), whose sum is σ = 35892460800. Its totient is φ = 4091120640.

The previous prime is 13783207129. The next prime is 13783207199. The reversal of 13783207164 is 46170238731.

It is an interprime number because it is at equal distance from previous prime (13783207129) and next prime (13783207199).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645427 + ... + 3649205.

It is an arithmetic number, because the mean of its divisors is an integer number (373879800).

Almost surely, 213783207164 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 13783207164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946230400).

13783207164 is an abundant number, since it is smaller than the sum of its proper divisors (22109253636).

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

13783207164 is a wasteful number, since it uses less digits than its factorization.

13783207164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 13783207164 in words is "thirteen billion, seven hundred eighty-three million, two hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 941 969 1292 1882 1938 2823 3764 3779 3876 5646 7558 11292 11337 15116 15997 17879 22674 31994 35758 45348 47991 53637 63988 64243 71516 71801 95982 107274 128486 143602 191964 192729 214548 215403 256972 287204 303943 385458 430806 607886 770916 861612 911829 1215772 1220617 1823658 2441234 3556039 3647316 3661851 4882468 7112078 7323702 10668117 14224156 14647404 21336234 42672468 60452663 67564741 120905326 135129482 181357989 202694223 241810652 270258964 362715978 405388446 725431956 810776892 1148600597 2297201194 3445801791 4594402388 6891603582 13783207164