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12639186960 = 2435211249589
BaseRepresentation
bin10111100010101101…
…01011000000010000
31012121211212020000120
423301112223000100
5201341112440320
65450101350240
7625132213401
oct136126530020
935554766016
1012639186960
1153a6545264
122548a08380
131265700b6a
1487c8859a8
154de92e440
hex2f15ab010

12639186960 has 80 divisors (see below), whose sum is σ = 39367331520. Its totient is φ = 3354462720.

The previous prime is 12639186929. The next prime is 12639186997. The reversal of 12639186960 is 6968193621.

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

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74155 + ... + 175434.

It is an arithmetic number, because the mean of its divisors is an integer number (492091644).

Almost surely, 212639186960 is an apocalyptic number.

12639186960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12639186960 is an abundant number, since it is smaller than the sum of its proper divisors (26728144560).

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

12639186960 is a wasteful number, since it uses less digits than its factorization.

12639186960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249816 (or 249810 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 12639186960 in words is "twelve billion, six hundred thirty-nine million, one hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 8440 10128 12660 16880 25320 50640 249589 499178 748767 998356 1247945 1497534 1996712 2495890 2995068 3743835 3993424 4991780 5990136 7487670 9983560 11980272 14975340 19967120 29950680 52663279 59901360 105326558 157989837 210653116 263316395 315979674 421306232 526632790 631959348 789949185 842612464 1053265580 1263918696 1579898370 2106531160 2527837392 3159796740 4213062320 6319593480 12639186960