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252083796040 = 2356302094901
BaseRepresentation
bin1110101011000101011…
…1010111100001001000
3220002200011010122220101
43222301113113201020
513112231422433130
6311450010335144
724132604624606
oct3526127274110
9802604118811
10252083796040
11979a980503a
1240a3242a4b4
131aa049c53bb
14c2b5480876
156855c301ca
hex3ab15d7848

252083796040 has 16 divisors (see below), whose sum is σ = 567188541180. Its totient is φ = 100833518400.

The previous prime is 252083796001. The next prime is 252083796049. The reversal of 252083796040 is 40697380252.

252083796040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 252070268356 + 13527684 = 502066^2 + 3678^2 .

It is not an unprimeable number, because it can be changed into a prime (252083796049) 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 3 ways as a sum of consecutive naturals, for example, 3151047411 + ... + 3151047490.

Almost surely, 2252083796040 is an apocalyptic number.

252083796040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252083796040 is an abundant number, since it is smaller than the sum of its proper divisors (315104745140).

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

252083796040 is a wasteful number, since it uses less digits than its factorization.

252083796040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302094912 (or 6302094908 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 252083796040 in words is "two hundred fifty-two billion, eighty-three million, seven hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6302094901 12604189802 25208379604 31510474505 50416759208 63020949010 126041898020 252083796040