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252494494252 = 2271113192307569
BaseRepresentation
bin1110101100100111011…
…0000011101000101100
3220010201202221021221021
43223021312003220230
513114102042304002
6311554441143524
724146022534520
oct3531166035054
9803652837837
10252494494252
119809a617750
1240b27a8aba4
131aa6bb112b0
14c313c2bd80
15687bd08737
hex3ac9d83a2c

252494494252 has 288 divisors, whose sum is σ = 629285690880. Its totient is φ = 85596963840.

The previous prime is 252494494249. The next prime is 252494494279.

252494494252 is nontrivially palindromic in base 10.

252494494252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2524944942522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 252494494252.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 443751024 + ... + 443751592.

It is an arithmetic number, because the mean of its divisors is an integer number (2185019760).

Almost surely, 2252494494252 is an apocalyptic number.

252494494252 is a gapful number since it is divisible by the number (22) 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 252494494252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314642845440).

252494494252 is an abundant number, since it is smaller than the sum of its proper divisors (376791196628).

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

252494494252 is a wasteful number, since it uses less digits than its factorization.

252494494252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 928 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 252494494252 in words is "two hundred fifty-two billion, four hundred ninety-four million, four hundred ninety-four thousand, two hundred fifty-two".