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12496758912 = 2732112353809
BaseRepresentation
bin10111010001101110…
…10110100010000000
31012020220212010110200
423220313112202000
5201043132241122
65424012525200
7621452461311
oct135067264200
935226763420
1012496758912
115333104a30
122509180800
131242053601
148679ac608
154d21985ac
hex2e8dd6880

12496758912 has 384 divisors, whose sum is σ = 41759452800. Its totient is φ = 3549511680.

The previous prime is 12496758847. The next prime is 12496759013. The reversal of 12496758912 is 21985769421.

It is a happy number.

12496758912 is a `hidden beast` number, since 1 + 2 + 49 + 6 + 7 + 589 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15446764 + ... + 15447572.

It is an arithmetic number, because the mean of its divisors is an integer number (108748575).

Almost surely, 212496758912 is an apocalyptic number.

12496758912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879726400).

12496758912 is an abundant number, since it is smaller than the sum of its proper divisors (29262693888).

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

12496758912 is a wasteful number, since it uses less digits than its factorization.

12496758912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 901 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 12496758912 in words is "twelve billion, four hundred ninety-six million, seven hundred fifty-eight thousand, nine hundred twelve".