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12007504944 = 2432417719963
BaseRepresentation
bin10110010111011001…
…11111110000110000
31010222211020110012100
423023230333300300
5144042410124234
65303254300400
7603362052021
oct131354776060
933884213170
1012007504944
115101a18206
1223b1357700
131194891816
1481ca12c48
154a4254399
hex2cbb3fc30

12007504944 has 60 divisors (see below), whose sum is σ = 33614065576. Its totient is φ = 4001342976.

The previous prime is 12007504921. The next prime is 12007504969. The reversal of 12007504944 is 44940570021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12007504899 and 12007504908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591507 + ... + 611469.

Almost surely, 212007504944 is an apocalyptic number.

It is an amenable number.

12007504944 is an abundant number, since it is smaller than the sum of its proper divisors (21606560632).

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

12007504944 is a wasteful number, since it uses less digits than its factorization.

12007504944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154 (or 24145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12007504944 in words is "twelve billion, seven million, five hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4177 8354 12531 16708 19963 25062 33416 37593 39926 50124 59889 66832 75186 79852 100248 119778 150372 159704 179667 200496 239556 300744 319408 359334 479112 601488 718668 958224 1437336 2874672 83385451 166770902 250156353 333541804 500312706 667083608 750469059 1000625412 1334167216 1500938118 2001250824 3001876236 4002501648 6003752472 12007504944