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12739447476000 = 2533537219912097
BaseRepresentation
bin1011100101100010001000…
…1111011100111100100000
31200002212201222221220121000
42321120202033130330200
53132210342023213000
643032231003432000
72453252245603500
oct271304217347440
950085658856530
1012739447476000
114071850a90033
121518ba7225600
1371542b5c6aab
14320841d45a00
151715b021e000
hexb96223dcf20

12739447476000 has 1152 divisors, whose sum is σ = 54218009664000. Its totient is φ = 2897001676800.

The previous prime is 12739447475999. The next prime is 12739447476037. The reversal of 12739447476000 is 67474493721.

It is a happy number.

12739447476000 is a `hidden beast` number, since 1 + 27 + 3 + 9 + 4 + 4 + 7 + 4 + 7 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1053101952 + ... + 1053114048.

It is an arithmetic number, because the mean of its divisors is an integer number (47064244500).

Almost surely, 212739447476000 is an apocalyptic number.

12739447476000 is a gapful number since it is divisible by the number (10) 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 12739447476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27109004832000).

12739447476000 is an abundant number, since it is smaller than the sum of its proper divisors (41478562188000).

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

12739447476000 is a wasteful number, since it uses less digits than its factorization.

12739447476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 12739447476000 in words is "twelve trillion, seven hundred thirty-nine billion, four hundred forty-seven million, four hundred seventy-six thousand".