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12922740432 = 243374273393
BaseRepresentation
bin11000000100100000…
…10101111011010000
31020100121102020021000
430002100111323100
5202431210143212
65534151102000
7635144324040
oct140220257320
936317366230
1012922740432
115531606178
122607971900
1312ac390a94
148a83b7720
155097901dc
hex302415ed0

12922740432 has 80 divisors (see below), whose sum is σ = 42392068480. Its totient is φ = 3692210688.

The previous prime is 12922740409. The next prime is 12922740473. The reversal of 12922740432 is 23404722921.

It is a happy number.

12922740432 is a `hidden beast` number, since 1 + 29 + 227 + 404 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133673 + ... + 2139720.

It is an arithmetic number, because the mean of its divisors is an integer number (529900856).

Almost surely, 212922740432 is an apocalyptic number.

12922740432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12922740432 is an abundant number, since it is smaller than the sum of its proper divisors (29469328048).

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

12922740432 is a wasteful number, since it uses less digits than its factorization.

12922740432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273417 (or 4273405 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12922740432 in words is "twelve billion, nine hundred twenty-two million, seven hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4273393 8546786 12820179 17093572 25640358 29913751 34187144 38460537 51280716 59827502 68374288 76921074 89741253 102561432 115381611 119655004 153842148 179482506 205122864 230763222 239310008 269223759 307684296 358965012 461526444 478620016 538447518 615368592 717930024 807671277 923052888 1076895036 1435860048 1615342554 1846105776 2153790072 3230685108 4307580144 6461370216 12922740432