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13325576313384 = 23322941619251467
BaseRepresentation
bin1100000111101001101000…
…1111100001101000101000
31202011220122022202220011200
43001322122033201220220
53221311240014012014
644201404002524200
72543512126532256
oct301723217415050
952156568686150
1013325576313384
114278388482875
1215b2704666660
1375879a54496a
14340d65c8d5d6
15181967407a09
hexc1e9a3e1a28

13325576313384 has 192 divisors, whose sum is σ = 38307126312000. Its totient is φ = 4177312957440.

The previous prime is 13325576313353. The next prime is 13325576313389. The reversal of 13325576313384 is 48331367552331.

13325576313384 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 5 + 576 + 31 + 3 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13325576313384.

It is not an unprimeable number, because it can be changed into a prime (13325576313389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52865619 + ... + 53117085.

It is an arithmetic number, because the mean of its divisors is an integer number (199516282875).

Almost surely, 213325576313384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13325576313384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153563156000).

13325576313384 is an abundant number, since it is smaller than the sum of its proper divisors (24981549998616).

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

13325576313384 is a wasteful number, since it uses less digits than its factorization.

13325576313384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252168 (or 252161 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 13325576313384 in words is "thirteen trillion, three hundred twenty-five billion, five hundred seventy-six million, three hundred thirteen thousand, three hundred eighty-four".