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12966924432 = 2437113508367
BaseRepresentation
bin11000001001110001…
…11001000010010000
31020110200120000022110
430010320321002100
5203024013040212
65542410105320
7636222016260
oct140470710220
936420500273
1012966924432
115554544280
12261a71b240
1312b8590b67
148b01d97a0
1550d5bba3c
hex304e39090

12966924432 has 80 divisors (see below), whose sum is σ = 41763612672. Its totient is φ = 3368031360.

The previous prime is 12966924427. The next prime is 12966924457. The reversal of 12966924432 is 23442966921.

It is a super-2 number, since 2×129669244322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1750488 + ... + 1757879.

Almost surely, 212966924432 is an apocalyptic number.

12966924432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12966924432 is an abundant number, since it is smaller than the sum of its proper divisors (28796688240).

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

12966924432 is a wasteful number, since it uses less digits than its factorization.

12966924432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508396 (or 3508390 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 12966924432 in words is "twelve billion, nine hundred sixty-six million, nine hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 3508367 7016734 10525101 14033468 21050202 24558569 28066936 38592037 42100404 49117138 56133872 73675707 77184074 84200808 98234276 115776111 147351414 154368148 168401616 196468552 231552222 270144259 294702828 308736296 392937104 463104444 540288518 589405656 617472592 810432777 926208888 1080577036 1178811312 1620865554 1852417776 2161154072 3241731108 4322308144 6483462216 12966924432