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13386926592 = 293313163457
BaseRepresentation
bin11000111011110110…
…00100101000000000
31021112221212022222000
430131323010220000
5204404023122332
610052212144000
7652511666334
oct143573045000
937487768860
1013386926592
11574a6310a6
122717308000
1313545b6850
1490dcc97c4
155353d1b7c
hex31dec4a00

13386926592 has 320 divisors, whose sum is σ = 43030162560. Its totient is φ = 4084826112.

The previous prime is 13386926587. The next prime is 13386926621. The reversal of 13386926592 is 29562968331.

13386926592 is a `hidden beast` number, since 13 + 38 + 6 + 9 + 2 + 6 + 592 = 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 31 ways as a sum of consecutive naturals, for example, 29292828 + ... + 29293284.

It is an arithmetic number, because the mean of its divisors is an integer number (134469258).

Almost surely, 213386926592 is an apocalyptic number.

13386926592 is a gapful number since it is divisible by the number (12) 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 13386926592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21515081280).

13386926592 is an abundant number, since it is smaller than the sum of its proper divisors (29643235968).

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

13386926592 is a wasteful number, since it uses less digits than its factorization.

13386926592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

It can be divided in two parts, 133869 and 26592, that added together give a triangular number (160461 = T566).

The spelling of 13386926592 in words is "thirteen billion, three hundred eighty-six million, nine hundred twenty-six thousand, five hundred ninety-two".