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534727992960 = 2735574311423
BaseRepresentation
bin1111100100000000100…
…01011010011010000000
31220010020010001112200000
413302000101122122000
532230110331233320
61045352312400000
753430025642260
oct7620021323200
91803203045600
10534727992960
11196860014627
12877733a6000
133b569bc5235
141bc495657a0
15dd99883c90
hex7c8045a680

534727992960 has 768 divisors, whose sum is σ = 2239513436160. Its totient is φ = 119370682368.

The previous prime is 534727992947. The next prime is 534727992973. The reversal of 534727992960 is 69299727435.

534727992960 is a `hidden beast` number, since 5 + 3 + 472 + 79 + 9 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (534727992947) and next prime (534727992973).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46805809 + ... + 46817231.

It is an arithmetic number, because the mean of its divisors is an integer number (2916033120).

Almost surely, 2534727992960 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 534727992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119756718080).

534727992960 is an abundant number, since it is smaller than the sum of its proper divisors (1704785443200).

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

534727992960 is a wasteful number, since it uses less digits than its factorization.

534727992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 534727992960 in words is "five hundred thirty-four billion, seven hundred twenty-seven million, nine hundred ninety-two thousand, nine hundred sixty".