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12789106920 = 23325144724551
BaseRepresentation
bin10111110100100101…
…00100100011101000
31020000021221221112200
423322102210203220
5202143002410140
65513014540200
7631632421002
oct137222444350
936007857480
1012789106920
115473132357
12258b067660
13128a7a24b5
1489474d372
154ecb95030
hex2fa4a48e8

12789106920 has 96 divisors (see below), whose sum is σ = 41595016320. Its totient is φ = 3407932800.

The previous prime is 12789106907. The next prime is 12789106949. The reversal of 12789106920 is 2960198721.

It is a super-2 number, since 2×127891069202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508645 + ... + 533195.

It is an arithmetic number, because the mean of its divisors is an integer number (433281420).

Almost surely, 212789106920 is an apocalyptic number.

12789106920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12789106920 is an abundant number, since it is smaller than the sum of its proper divisors (28805909400).

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

12789106920 is a wasteful number, since it uses less digits than its factorization.

12789106920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26015 (or 26008 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12789106920 in words is "twelve billion, seven hundred eighty-nine million, one hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1447 2894 4341 5788 7235 8682 11576 13023 14470 17364 21705 24551 26046 28940 34728 43410 49102 52092 57880 65115 73653 86820 98204 104184 122755 130230 147306 173640 196408 220959 245510 260460 294612 368265 441918 491020 520920 589224 736530 883836 982040 1104795 1473060 1767672 2209590 2946120 4419180 8838360 35525297 71050594 106575891 142101188 177626485 213151782 284202376 319727673 355252970 426303564 532879455 639455346 710505940 852607128 1065758910 1278910692 1421011880 1598638365 2131517820 2557821384 3197276730 4263035640 6394553460 12789106920