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13153368755520 = 2633571931243277
BaseRepresentation
bin1011111101101000000111…
…0111110100110101000000
31201120110010212212112222000
42333122001313310311000
53211001044400134040
643550324005144000
72525204511456330
oct277320167646500
951513125775860
1013153368755520
114211348833814
1215852646bb000
13745485141126
143368aad6d0c0
1517c238d9b130
hexbf681df4d40

13153368755520 has 2688 divisors, whose sum is σ = 59235446476800. Its totient is φ = 2682548305920.

The previous prime is 13153368755519. The next prime is 13153368755533. The reversal of 13153368755520 is 2555786335131.

13153368755520 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 3 + 6 + 87 + 5 + 552 + 0 = 666.

It is a super-2 number, since 2×131533687555202 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47485085622 + ... + 47485085898.

Almost surely, 213153368755520 is an apocalyptic number.

13153368755520 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 13153368755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29617723238400).

13153368755520 is an abundant number, since it is smaller than the sum of its proper divisors (46082077721280).

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

13153368755520 is a wasteful number, since it uses less digits than its factorization.

13153368755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 13153368755520 in words is "thirteen trillion, one hundred fifty-three billion, three hundred sixty-eight million, seven hundred fifty-five thousand, five hundred twenty".