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52979256288 = 25327211333223
BaseRepresentation
bin110001010101110011…
…110100101111100000
312001202012211001221100
4301111303310233200
51332000142200123
640201025154400
73553606151100
oct612563645740
9161665731840
1052979256288
1120517455432
12a32678ba00
134cc407047a
1427c8297200
1515a11dc643
hexc55cf4be0

52979256288 has 216 divisors, whose sum is σ = 176813543088. Its totient is φ = 15002523648.

The previous prime is 52979256283. The next prime is 52979256313. The reversal of 52979256288 is 88265297925.

52979256288 is a `hidden beast` number, since 529 + 7 + 9 + 25 + 6 + 2 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52979256283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1578045 + ... + 1611267.

It is an arithmetic number, because the mean of its divisors is an integer number (818581218).

Almost surely, 252979256288 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 52979256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88406771544).

52979256288 is an abundant number, since it is smaller than the sum of its proper divisors (123834286800).

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

52979256288 is a wasteful number, since it uses less digits than its factorization.

52979256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366 (or 33348 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 52979256288 in words is "fifty-two billion, nine hundred seventy-nine million, two hundred fifty-six thousand, two hundred eighty-eight".