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252040050013 = 416603793089
BaseRepresentation
bin1110101010111011000…
…0011111010101011101
3220002120002211010122011
43222232300133111131
513112134223100023
6311441404551221
724131534035303
oct3525660372535
9802502733564
10252040050013
1197987045aa4
1240a1b852511
131a9c891978b
14c2ad734273
156851e8d50d
hex3aaec1f55d

252040050013 has 8 divisors (see below), whose sum is σ = 258194051640. Its totient is φ = 245886366720.

The previous prime is 252040049999. The next prime is 252040050043. The reversal of 252040050013 is 310050040252.

It can be written as a sum of positive squares in 4 ways, for example, as 108954126724 + 143085923289 = 330082^2 + 378267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252040050013 - 217 = 252039918941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252040050043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2660973 + ... + 2754061.

It is an arithmetic number, because the mean of its divisors is an integer number (32274256455).

Almost surely, 2252040050013 is an apocalyptic number.

It is an amenable number.

252040050013 is a deficient number, since it is larger than the sum of its proper divisors (6154001627).

252040050013 is an equidigital number, since it uses as much as digits as its factorization.

252040050013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159167.

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 252040050013 its reverse (310050040252), we get a palindrome (562090090265).

The spelling of 252040050013 in words is "two hundred fifty-two billion, forty million, fifty thousand, thirteen".

Divisors: 1 41 66037 93089 2707517 3816649 6147318293 252040050013