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53768652912 = 243213175633001
BaseRepresentation
bin110010000100110111…
…001000100001110000
312010210020012120112100
4302010313020201300
51340104233343122
640411224500400
73612303003012
oct620467104160
9163706176470
1053768652912
1120892003837
12a50701a700
1350bb77cc70
1428610621b2
1515ea66caac
hexc84dc8870

53768652912 has 240 divisors, whose sum is σ = 171947307168. Its totient is φ = 15538176000.

The previous prime is 53768652907. The next prime is 53768652913. The reversal of 53768652912 is 21925686735.

53768652912 is a `hidden beast` number, since 5 + 37 + 6 + 86 + 529 + 1 + 2 = 666.

It is a super-2 number, since 2×537686529122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53768652913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17915412 + ... + 17918412.

Almost surely, 253768652912 is an apocalyptic number.

53768652912 is a gapful number since it is divisible by the number (52) 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 53768652912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85973653584).

53768652912 is an abundant number, since it is smaller than the sum of its proper divisors (118178654256).

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

53768652912 is a wasteful number, since it uses less digits than its factorization.

53768652912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3599 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 53768652912 in words is "fifty-three billion, seven hundred sixty-eight million, six hundred fifty-two thousand, nine hundred twelve".