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12642092520 = 2335419072833
BaseRepresentation
bin10111100011000011…
…10000010111101000
31012122001022211200220
423301201300113220
5201342333430040
65450243530040
7625166004411
oct136141602750
935561284626
1012642092520
1153a814a252
122549989920
1312661aa525
1487d000808
154ded052d0
hex2f18705e8

12642092520 has 128 divisors (see below), whose sum is σ = 38907872640. Its totient is φ = 3284213760.

The previous prime is 12642092417. The next prime is 12642092521. The reversal of 12642092520 is 2529024621.

It is not an unprimeable number, because it can be changed into a prime (12642092521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4461024 + ... + 4463856.

It is an arithmetic number, because the mean of its divisors is an integer number (303967755).

Almost surely, 212642092520 is an apocalyptic number.

12642092520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642092520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453936320).

12642092520 is an abundant number, since it is smaller than the sum of its proper divisors (26265780120).

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

12642092520 is a wasteful number, since it uses less digits than its factorization.

12642092520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12642092520 in words is "twelve billion, six hundred forty-two million, ninety-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 907 984 1230 1640 1814 2460 2721 2833 3628 4535 4920 5442 5666 7256 8499 9070 10884 11332 13605 14165 16998 18140 21768 22664 27210 28330 33996 36280 37187 42495 54420 56660 67992 74374 84990 108840 111561 113320 116153 148748 169980 185935 223122 232306 297496 339960 348459 371870 446244 464612 557805 580765 696918 743740 892488 929224 1115610 1161530 1393836 1487480 1742295 2231220 2323060 2569531 2787672 3484590 4462440 4646120 5139062 6969180 7708593 10278124 12847655 13938360 15417186 20556248 25695310 30834372 38542965 51390620 61668744 77085930 102781240 105350771 154171860 210701542 308343720 316052313 421403084 526753855 632104626 842806168 1053507710 1264209252 1580261565 2107015420 2528418504 3160523130 4214030840 6321046260 12642092520