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252739937252 = 221122350345137
BaseRepresentation
bin1110101101100001111…
…0010110001111100100
3220011100212210002102202
43223120132112033210
513120102410443002
6312035045554032
724155063010005
oct3533036261744
9804325702382
10252739937252
1198206118700
1240b96115918
131aaaa91973a
14c33867d1ac
15689363c502
hex3ad87963e4

252739937252 has 72 divisors (see below), whose sum is σ = 508315989888. Its totient is φ = 109666036480.

The previous prime is 252739937251. The next prime is 252739937299.

252739937252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (252739937251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576828 + ... + 5621964.

It is an arithmetic number, because the mean of its divisors is an integer number (7059944304).

Almost surely, 2252739937252 is an apocalyptic number.

252739937252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252739937252 is an abundant number, since it is smaller than the sum of its proper divisors (255576052636).

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

252739937252 is a wasteful number, since it uses less digits than its factorization.

252739937252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45689 (or 45676 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 56.

The spelling of 252739937252 in words is "two hundred fifty-two billion, seven hundred thirty-nine million, nine hundred thirty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 503 506 1006 1012 2012 2783 5533 5566 11066 11132 11569 22132 23138 45137 46276 60863 90274 121726 127259 180548 243452 254518 496507 509036 993014 1038151 1399849 1986028 2076302 2799698 4152604 5461577 5599396 10923154 11419661 21846308 22703911 22839322 45407822 45678644 90815644 125616271 249743021 251232542 499486042 502465084 522189953 998972084 1044379906 2088759812 2747173231 5494346462 5744089483 10988692924 11488178966 22976357932 63184984313 126369968626 252739937252