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12420075984 = 2432239291249
BaseRepresentation
bin10111001000100101…
…10101000111010000
31012001120120020021020
423210102311013100
5200414014412414
65412233155440
7616531622031
oct134422650720
935046506236
1012420075984
1152a3899a08
1224a755bb80
13122c1b4cb4
1485b72aa88
154ca59c7a9
hex2e44b51d0

12420075984 has 80 divisors (see below), whose sum is σ = 32289600000. Its totient is φ = 4113727488.

The previous prime is 12420075977. The next prime is 12420075989. The reversal of 12420075984 is 48957002421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420075989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9943392 + ... + 9944640.

It is an arithmetic number, because the mean of its divisors is an integer number (403620000).

Almost surely, 212420075984 is an apocalyptic number.

It is an amenable number.

12420075984 is an abundant number, since it is smaller than the sum of its proper divisors (19869524016).

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

12420075984 is a wasteful number, since it uses less digits than its factorization.

12420075984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 12420075984 in words is "twelve billion, four hundred twenty million, seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 223 446 669 892 929 1249 1338 1784 1858 2498 2676 2787 3568 3716 3747 4996 5352 5574 7432 7494 9992 10704 11148 14864 14988 19984 22296 29976 44592 59952 207167 278527 414334 557054 621501 828668 835581 1114108 1160321 1243002 1657336 1671162 2228216 2320642 2486004 3314672 3342324 3480963 4456432 4641284 4972008 6684648 6961926 9282568 9944016 13369296 13923852 18565136 27847704 55695408 258751583 517503166 776254749 1035006332 1552509498 2070012664 3105018996 4140025328 6210037992 12420075984