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12880746918 = 23213671575233
BaseRepresentation
bin10111111111100000…
…01001100110100110
31020020200101201222200
423333300021212212
5202334432400133
65530051035330
7634124354004
oct137760114646
936220351880
1012880746918
11550a933896
1225b589bb46
1312a3779a50
148a29a5a74
15505c47913
hex2ffc099a6

12880746918 has 96 divisors (see below), whose sum is σ = 30703816416. Its totient is φ = 3878544384.

The previous prime is 12880746889. The next prime is 12880746953. The reversal of 12880746918 is 81964708821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2458830 + ... + 2464062.

It is an arithmetic number, because the mean of its divisors is an integer number (319831421).

Almost surely, 212880746918 is an apocalyptic number.

12880746918 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 12880746918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351908208).

12880746918 is an abundant number, since it is smaller than the sum of its proper divisors (17823069498).

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

12880746918 is a wasteful number, since it uses less digits than its factorization.

12880746918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12880746918 in words is "twelve billion, eight hundred eighty million, seven hundred forty-six thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 157 201 234 314 402 471 603 871 942 1206 1413 1742 2041 2613 2826 4082 5226 5233 6123 7839 10466 10519 12246 15678 15699 18369 21038 31398 31557 36738 47097 63114 68029 94194 94671 136058 136747 189342 204087 273494 350611 408174 410241 612261 701222 820482 821581 1051833 1224522 1230723 1643162 2103666 2461446 2464743 3155499 4557943 4929486 6310998 7394229 9115886 10680553 13673829 14788458 21361106 27347658 32041659 41021487 55045927 64083318 82042974 96124977 110091854 165137781 192249954 330275562 495413343 715597051 990826686 1431194102 2146791153 4293582306 6440373459 12880746918