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538691942880 = 2533572131910303
BaseRepresentation
bin1111101011011001000…
…10101011100111100000
31220111110100221001201000
413311230202223213200
532311220114133010
61051245513512000
753630200651500
oct7655442534740
91814410831630
10538691942880
111985046158a3
128849aa12600
133ba4c203c30
141c103bb3a00
15e02c8877c0
hex7d6c8ab9e0

538691942880 has 1152 divisors, whose sum is σ = 2486511820800. Its totient is φ = 107665625088.

The previous prime is 538691942879. The next prime is 538691942881. The reversal of 538691942880 is 88249196835.

538691942880 is a `hidden beast` number, since 5 + 386 + 91 + 94 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (538691942879) and next prime (538691942881).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538691942881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52279809 + ... + 52290111.

It is an arithmetic number, because the mean of its divisors is an integer number (2158430400).

Almost surely, 2538691942880 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 538691942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243255910400).

538691942880 is an abundant number, since it is smaller than the sum of its proper divisors (1947819877920).

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

538691942880 is a wasteful number, since it uses less digits than its factorization.

538691942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 538691942880 in words is "five hundred thirty-eight billion, six hundred ninety-one million, nine hundred forty-two thousand, eight hundred eighty".