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13325613741792 = 25331141138124763
BaseRepresentation
bin1100000111101001110001…
…1110010011011011100000
31202011220201221012110022000
43001322130132103123200
53221311324104214132
644201411421044000
72543513062630062
oct301723436233340
952156657173260
1013325613741792
1142783a7617340
1215b27150b6600
137587a521ab51
14340d6ac33732
1518196a84c87c
hexc1e9c7936e0

13325613741792 has 384 divisors, whose sum is σ = 43467024867840. Its totient is φ = 3936563712000.

The previous prime is 13325613741767. The next prime is 13325613741827. The reversal of 13325613741792 is 29714731652331.

13325613741792 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 5 + 6 + 137 + 417 + 92 = 666.

13325613741792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538113603 + ... + 538138365.

It is an arithmetic number, because the mean of its divisors is an integer number (113195377260).

Almost surely, 213325613741792 is an apocalyptic number.

13325613741792 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 13325613741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733512433920).

13325613741792 is an abundant number, since it is smaller than the sum of its proper divisors (30141411126048).

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

13325613741792 is a wasteful number, since it uses less digits than its factorization.

13325613741792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26215 (or 26201 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 13325613741792 in words is "thirteen trillion, three hundred twenty-five billion, six hundred thirteen million, seven hundred forty-one thousand, seven hundred ninety-two".