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12881286630 = 235513738693
BaseRepresentation
bin10111111111100100…
…01101010111100110
31020020201102011100000
423333302031113212
5202340102133010
65530110402130
7634132062342
oct137762152746
936221364300
1012881286630
115510172333
1225b5b00346
1312a39085c4
148a2aa6622
15505d027c0
hex2ffc8d5e6

12881286630 has 96 divisors (see below), whose sum is σ = 34986186144. Its totient is φ = 3409848576.

The previous prime is 12881286623. The next prime is 12881286647. The reversal of 12881286630 is 3668218821.

12881286630 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 1 + 2 + 8 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 313564 + ... + 352256.

It is an arithmetic number, because the mean of its divisors is an integer number (364439439).

Almost surely, 212881286630 is an apocalyptic number.

12881286630 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 12881286630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493093072).

12881286630 is an abundant number, since it is smaller than the sum of its proper divisors (22104899514).

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

12881286630 is a wasteful number, since it uses less digits than its factorization.

12881286630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38852 (or 38840 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12881286630 in words is "twelve billion, eight hundred eighty-one million, two hundred eighty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 137 162 243 270 274 405 411 486 685 810 822 1215 1233 1370 2055 2430 2466 3699 4110 6165 7398 11097 12330 18495 22194 33291 36990 38693 55485 66582 77386 110970 116079 166455 193465 232158 332910 348237 386930 580395 696474 1044711 1160790 1741185 2089422 3134133 3482370 5223555 5300941 6268266 9402399 10447110 10601882 15670665 15902823 18804798 26504705 31341330 31805646 47011995 47708469 53009410 79514115 94023990 95416938 143125407 159028230 238542345 286250814 429376221 477084690 715627035 858752442 1288128663 1431254070 2146881105 2576257326 4293762210 6440643315 12881286630