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12428392608 = 2532231876267
BaseRepresentation
bin10111001001100101…
…00011100010100000
31012002011012202112100
423210302203202200
5200423132030413
65413131330400
7616662410532
oct134462434240
935064182470
1012428392608
1152a855a355
1224aa2b0a00
131230b37588
1485c893852
154cb191a73
hex2e4ca38a0

12428392608 has 72 divisors (see below), whose sum is σ = 36879923808. Its totient is φ = 3962673792.

The previous prime is 12428392597. The next prime is 12428392633. The reversal of 12428392608 is 80629382421.

12428392608 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 8 + 39 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931510 + ... + 944757.

It is an arithmetic number, because the mean of its divisors is an integer number (512221164).

Almost surely, 212428392608 is an apocalyptic number.

12428392608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12428392608 is an abundant number, since it is smaller than the sum of its proper divisors (24451531200).

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

12428392608 is a wasteful number, since it uses less digits than its factorization.

12428392608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876306 (or 1876295 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12428392608 in words is "twelve billion, four hundred twenty-eight million, three hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 1876267 3752534 5628801 7505068 11257602 15010136 16886403 22515204 30020272 33772806 43154141 45030408 60040544 67545612 86308282 90060816 129462423 135091224 172616564 180121632 258924846 270182448 345233128 388387269 517849692 540364896 690466256 776774538 1035699384 1380932512 1553549076 2071398768 3107098152 4142797536 6214196304 12428392608