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12892690298880 = 2113257115317333
BaseRepresentation
bin1011101110011101000000…
…1110011011100000000000
31200122112021202100220011200
42323213100032123200000
53142213212204031010
643230453053141200
72500315612241040
oct273472016334000
950575252326150
1012892690298880
11412083961aa97
121542833a8a800
13726a10959452
1432801c26b720
1517557d859cc0
hexbb9d039b800

12892690298880 has 576 divisors, whose sum is σ = 51114379942080. Its totient is φ = 2944174915584.

The previous prime is 12892690298843. The next prime is 12892690298927. The reversal of 12892690298880 is 8889209629821.

12892690298880 is a `hidden beast` number, since 1 + 289 + 269 + 0 + 2 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12892690298799 and 12892690298808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743814694 + ... + 743832026.

It is an arithmetic number, because the mean of its divisors is an integer number (88740242955).

Almost surely, 212892690298880 is an apocalyptic number.

12892690298880 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 12892690298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557189971040).

12892690298880 is an abundant number, since it is smaller than the sum of its proper divisors (38221689643200).

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

12892690298880 is a wasteful number, since it uses less digits than its factorization.

12892690298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526 (or 18503 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 12892690298880 in words is "twelve trillion, eight hundred ninety-two billion, six hundred ninety million, two hundred ninety-eight thousand, eight hundred eighty".