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534393252360 = 23345113831493
BaseRepresentation
bin1111100011011000101…
…00011110101000001000
31220002100210011221220000
413301230110132220020
532223414133033420
61045255154003000
753415522461202
oct7615424365010
91802323157800
10534393252360
111966a9072000
128769b276460
133b515752786
141bc16d0b772
15dd7a2b1690
hex7c6c51ea08

534393252360 has 640 divisors, whose sum is σ = 2000777708160. Its totient is φ = 127903311360.

The previous prime is 534393252329. The next prime is 534393252361. The reversal of 534393252360 is 63252393435.

534393252360 is a `hidden beast` number, since 5 + 3 + 4 + 39 + 3 + 252 + 360 = 666.

It is a super-2 number, since 2×5343932523602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (534393252361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 357931774 + ... + 357933266.

It is an arithmetic number, because the mean of its divisors is an integer number (3126215169).

Almost surely, 2534393252360 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 534393252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000388854080).

534393252360 is an abundant number, since it is smaller than the sum of its proper divisors (1466384455800).

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

534393252360 is a wasteful number, since it uses less digits than its factorization.

534393252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 534393252360 in words is "five hundred thirty-four billion, three hundred ninety-three million, two hundred fifty-two thousand, three hundred sixty".