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538811136864 = 253471113239029
BaseRepresentation
bin1111101011100111010…
…01010111101101100000
31220111202200012202010000
413311303221113231200
532311441122334424
61051305412340000
753633146045020
oct7656351275540
91814680182100
10538811136864
11198565927020
1288512914600
133ba6ab08010
141c11595da80
15e03807e3c9
hex7d73a57b60

538811136864 has 960 divisors, whose sum is σ = 2220364016640. Its totient is φ = 123555041280.

The previous prime is 538811136859. The next prime is 538811136901. The reversal of 538811136864 is 468631118835.

It is a happy number.

538811136864 is a `hidden beast` number, since 538 + 8 + 1 + 11 + 36 + 8 + 64 = 666.

It is a super-2 number, since 2×5388111368642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 538811136864.

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 159 ways as a sum of consecutive naturals, for example, 59671102 + ... + 59680130.

It is an arithmetic number, because the mean of its divisors is an integer number (2312879184).

Almost surely, 2538811136864 is an apocalyptic number.

538811136864 is a gapful number since it is divisible by the number (54) 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 538811136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110182008320).

538811136864 is an abundant number, since it is smaller than the sum of its proper divisors (1681552879776).

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

538811136864 is a wasteful number, since it uses less digits than its factorization.

538811136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9088 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 538811136864 in words is "five hundred thirty-eight billion, eight hundred eleven million, one hundred thirty-six thousand, eight hundred sixty-four".