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12818093904 = 24327111156033
BaseRepresentation
bin10111111000000010…
…01001011101010000
31020002022111122012200
423330001021131100
5202222413001104
65515532123200
7632434000110
oct137401113520
936068448180
1012818093904
115488530740
122598906500
1312937b1365
14898537040
155004bdb39
hex2fc049750

12818093904 has 120 divisors (see below), whose sum is σ = 44724643392. Its totient is φ = 3329372160.

The previous prime is 12818093879. The next prime is 12818093909. The reversal of 12818093904 is 40939081821.

It is a super-2 number, since 2×128180939042 (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 12818093904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12818093909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566929 + ... + 589104.

Almost surely, 212818093904 is an apocalyptic number.

12818093904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12818093904 is an abundant number, since it is smaller than the sum of its proper divisors (31906549488).

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

12818093904 is a wasteful number, since it uses less digits than its factorization.

12818093904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156065 (or 1156056 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12818093904 in words is "twelve billion, eight hundred eighteen million, ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 1156033 2312066 3468099 4624132 6936198 8092231 9248264 10404297 12716363 13872396 16184462 18496528 20808594 24276693 25432726 27744792 32368924 38149089 41617188 48553386 50865452 55489584 64737848 72830079 76298178 83234376 89014541 97106772 101730904 114447267 129475696 145660158 152596356 166468752 178029082 194213544 203461808 228894534 267043623 291320316 305192712 356058164 388427088 457789068 534087246 582640632 610385424 712116328 801130869 915578136 1068174492 1165281264 1424232656 1602261738 1831156272 2136348984 3204523476 4272697968 6409046952 12818093904