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538134366960 = 243553743127137
BaseRepresentation
bin1111101010010110100…
…11101100101011110000
31220110000111202021100000
413311023103230223300
532304044344220320
61051114315030000
753610320434641
oct7651323545360
91813014667300
10538134366960
11198248903853
128836413b300
133b990840358
141c08db116c8
15dee8949c90
hex7d4b4ecaf0

538134366960 has 960 divisors, whose sum is σ = 1999584018432. Its totient is φ = 134315532288.

The previous prime is 538134366911. The next prime is 538134366967. The reversal of 538134366960 is 69663431835.

538134366960 is a `hidden beast` number, since 538 + 1 + 3 + 43 + 6 + 6 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 538134366897 and 538134366906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538134366967) 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, 3927988012 + ... + 3927988148.

Almost surely, 2538134366960 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 538134366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999792009216).

538134366960 is an abundant number, since it is smaller than the sum of its proper divisors (1461449651472).

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

538134366960 is a wasteful number, since it uses less digits than its factorization.

538134366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 538134366960 in words is "five hundred thirty-eight billion, one hundred thirty-four million, three hundred sixty-six thousand, nine hundred sixty".