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52985595312 = 24341331101449
BaseRepresentation
bin110001010110001100…
…000000010110110000
312001202122202010110000
4301112030000112300
51332003303022222
640201413110000
73554014062156
oct612614002660
9161678663400
1052985595312
112051aa94aa1
12a328928300
134cc547c880
1427c90673d6
1515a1a409ac
hexc563005b0

52985595312 has 200 divisors, whose sum is σ = 170481449600. Its totient is φ = 15777192960.

The previous prime is 52985595307. The next prime is 52985595319. The reversal of 52985595312 is 21359558925.

52985595312 is a `hidden beast` number, since 5 + 29 + 8 + 559 + 53 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52985595319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471564 + ... + 573012.

It is an arithmetic number, because the mean of its divisors is an integer number (852407248).

Almost surely, 252985595312 is an apocalyptic number.

52985595312 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 52985595312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85240724800).

52985595312 is an abundant number, since it is smaller than the sum of its proper divisors (117495854288).

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

52985595312 is a wasteful number, since it uses less digits than its factorization.

52985595312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101513 (or 101498 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 54.

The spelling of 52985595312 in words is "fifty-two billion, nine hundred eighty-five million, five hundred ninety-five thousand, three hundred twelve".