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54113894208 = 2634112943761
BaseRepresentation
bin110010011001011100…
…000111111101000000
312011200021211122120000
4302121130013331000
51341311124103313
640505400320000
73623664340263
oct623134077500
9164607748500
1054113894208
1120a49978720
12a5a2773000
13514515b15a
142894c50cda
15161ab16673
hexc99707f40

54113894208 has 560 divisors, whose sum is σ = 185480919360. Its totient is φ = 15444172800.

The previous prime is 54113894183. The next prime is 54113894213. The reversal of 54113894208 is 80249831145.

54113894208 is a `hidden beast` number, since 54 + 11 + 389 + 4 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71108548 + ... + 71109308.

Almost surely, 254113894208 is an apocalyptic number.

54113894208 is a gapful number since it is divisible by the number (58) 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 54113894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92740459680).

54113894208 is an abundant number, since it is smaller than the sum of its proper divisors (131367025152).

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

54113894208 is a wasteful number, since it uses less digits than its factorization.

54113894208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 54113894208 in words is "fifty-four billion, one hundred thirteen million, eight hundred ninety-four thousand, two hundred eight".