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12295216640 = 2957686117
BaseRepresentation
bin10110111001101101…
…00001111000000000
31011201212121201110002
423130312201320000
5200140033413030
65352013055132
7613454421440
oct133466417000
934655551402
1012295216640
11523a369273
1224717874a8
13120c379325
14848d08120
154be637245
hex2dcda1e00

12295216640 has 80 divisors (see below), whose sum is σ = 33691138272. Its totient is φ = 4215496704.

The previous prime is 12295216631. The next prime is 12295216709. The reversal of 12295216640 is 4661259221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12295216594 and 12295216603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325139 + ... + 360978.

Almost surely, 212295216640 is an apocalyptic number.

12295216640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12295216640 is an abundant number, since it is smaller than the sum of its proper divisors (21395921632).

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

12295216640 is an frugal number, since it uses more digits than its factorization.

12295216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686147 (or 686131 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 12295216640 in words is "twelve billion, two hundred ninety-five million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 686117 1372234 2744468 3430585 4802819 5488936 6861170 9605638 10977872 13722340 19211276 21955744 24014095 27444680 38422552 43911488 48028190 54889360 76845104 87822976 96056380 109778720 153690208 175645952 192112760 219557440 307380416 351291904 384225520 439114880 614760832 768451040 878229760 1229521664 1536902080 1756459520 2459043328 3073804160 6147608320 12295216640