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12400939278 = 23271337320297
BaseRepresentation
bin10111000110010011…
…10101000100001110
31012000020112222122100
423203021311010032
5200344120024103
65410311055530
7616210146630
oct134311650416
935006488570
1012400939278
115294009252
1224a10715a6
1312282447c0
14858d88a50
154c8a6c5a3
hex2e327510e

12400939278 has 96 divisors (see below), whose sum is σ = 33159462336. Its totient is φ = 3261648384.

The previous prime is 12400939259. The next prime is 12400939283. The reversal of 12400939278 is 87293900421.

12400939278 is a `hidden beast` number, since 1 + 2 + 400 + 93 + 92 + 78 = 666.

It is a super-2 number, since 2×124009392782 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 600826 + ... + 621122.

It is an arithmetic number, because the mean of its divisors is an integer number (345411066).

Almost surely, 212400939278 is an apocalyptic number.

12400939278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400939278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579731168).

12400939278 is an abundant number, since it is smaller than the sum of its proper divisors (20758523058).

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

12400939278 is a wasteful number, since it uses less digits than its factorization.

12400939278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20698 (or 20695 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12400939278 in words is "twelve billion, four hundred million, nine hundred thirty-nine thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 373 546 746 819 1119 1638 2238 2611 3357 4849 5222 6714 7833 9698 14547 15666 20297 23499 29094 33943 40594 43641 46998 60891 67886 87282 101829 121782 142079 182673 203658 263861 284158 305487 365346 426237 527722 610974 791583 852474 1278711 1583166 1847027 2374749 2557422 3694054 4749498 5541081 7570781 11082162 15141562 16623243 22712343 33246486 45424686 52995467 68137029 98420153 105990934 136274058 158986401 196840306 295260459 317972802 476959203 590520918 688941071 885781377 953918406 1377882142 1771562754 2066823213 4133646426 6200469639 12400939278