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12908491776 = 21034198191
BaseRepresentation
bin11000000010110011…
…11111010000000000
31020022121121022210000
430001121333100000
5202414033214101
65532521440000
7634612240545
oct140131772000
936277538700
1012908491776
115524563a24
122603040000
1312a944241b
148a6548bcc
155083c8486
hex30167f400

12908491776 has 220 divisors, whose sum is σ = 40581038080. Its totient is φ = 4075868160.

The previous prime is 12908491639. The next prime is 12908491787. The reversal of 12908491776 is 67719480921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1571841 + ... + 1580031.

It is an arithmetic number, because the mean of its divisors is an integer number (184459264).

Almost surely, 212908491776 is an apocalyptic number.

12908491776 is a gapful number since it is divisible by the number (16) 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 12908491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290519040).

12908491776 is an abundant number, since it is smaller than the sum of its proper divisors (27672546304).

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

12908491776 is an equidigital number, since it uses as much as digits as its factorization.

12908491776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12908491776 in words is "twelve billion, nine hundred eight million, four hundred ninety-one thousand, seven hundred seventy-six".