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12997535339520 = 2103355311931487
BaseRepresentation
bin1011110100100011100101…
…1110100001010000000000
31201000112220120210210201000
42331020321132201100000
53200422423021331040
643350552454212000
72511020020340334
oct275107136412000
951015816723630
1012997535339520
114161250943906
12155b014354000
1373387c180434
1432d1269737c4
151781680dc130
hexbd2397a1400

12997535339520 has 704 divisors, whose sum is σ = 47133544688640. Its totient is φ = 3395477569536.

The previous prime is 12997535339507. The next prime is 12997535339531. The reversal of 12997535339520 is 2593353579921.

12997535339520 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 7 + 5 + 3 + 533 + 95 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8740776217 + ... + 8740777703.

Almost surely, 212997535339520 is an apocalyptic number.

12997535339520 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 12997535339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566772344320).

12997535339520 is an abundant number, since it is smaller than the sum of its proper divisors (34136009349120).

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

12997535339520 is a wasteful number, since it uses less digits than its factorization.

12997535339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 68890500, while the sum is 63.

The spelling of 12997535339520 in words is "twelve trillion, nine hundred ninety-seven billion, five hundred thirty-five million, three hundred thirty-nine thousand, five hundred twenty".