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13682793810 = 235729795959
BaseRepresentation
bin11001011111000111…
…01101110101010010
31022022120120221111010
430233203231311102
5211010243400220
610141421431350
7663033554100
oct145743556522
938276527433
1013682793810
115891642564
12279a40b556
1313a09984ca
1493b304c70
155513761e0
hex32f8edd52

13682793810 has 96 divisors (see below), whose sum is σ = 38594344320. Its totient is φ = 3095221248.

The previous prime is 13682793797. The next prime is 13682793841. The reversal of 13682793810 is 1839728631.

It is a super-2 number, since 2×136827938102 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13682793810.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94611 + ... + 190569.

It is an arithmetic number, because the mean of its divisors is an integer number (402024420).

Almost surely, 213682793810 is an apocalyptic number.

13682793810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13682793810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297172160).

13682793810 is an abundant number, since it is smaller than the sum of its proper divisors (24911550510).

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

13682793810 is a wasteful number, since it uses less digits than its factorization.

13682793810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96080 (or 96073 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 13682793810 in words is "thirteen billion, six hundred eighty-two million, seven hundred ninety-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 970 1358 1455 1470 2037 2910 3395 4074 4753 6790 9506 10185 14259 20370 23765 28518 47530 71295 95959 142590 191918 287877 479795 575754 671713 959590 1343426 1439385 2015139 2878770 3358565 4030278 4701991 6717130 9308023 9403982 10075695 14105973 18616046 20151390 23509955 27924069 28211946 46540115 47019910 55848138 65156161 70529865 93080230 130312322 139620345 141059730 195468483 279240690 325780805 390936966 456093127 651561610 912186254 977342415 1368279381 1954684830 2280465635 2736558762 4560931270 6841396905 13682793810