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12908053728 = 253443179647
BaseRepresentation
bin11000000010110000…
…10100010011100000
31020022120210001220000
430001120110103200
5202413430204403
65532504220000
7634605434463
oct140130242340
936276701800
1012908053728
1155242948a9
122602a6a600
1312a931ac1b
148a64732da
1550833d7a3
hex3016144e0

12908053728 has 240 divisors, whose sum is σ = 39122455680. Its totient is φ = 4172684544.

The previous prime is 12908053681. The next prime is 12908053747. The reversal of 12908053728 is 82735080921.

It is a happy number.

12908053728 is a `hidden beast` number, since 1 + 2 + 90 + 8 + 0 + 537 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19950301 + ... + 19950947.

It is an arithmetic number, because the mean of its divisors is an integer number (163010232).

Almost surely, 212908053728 is an apocalyptic number.

12908053728 is a gapful number since it is divisible by the number (18) 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 12908053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561227840).

12908053728 is an abundant number, since it is smaller than the sum of its proper divisors (26214401952).

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

12908053728 is a wasteful number, since it uses less digits than its factorization.

12908053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12908053728 in words is "twelve billion, nine hundred eight million, fifty-three thousand, seven hundred twenty-eight".