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252263362252 = 2211101173328121
BaseRepresentation
bin1110101011110000010…
…0010110111011001100
3220010010200000120102211
43222330010112323030
513113113410043002
6311515503200204
724140215125346
oct3527404267314
9803120016384
10252263362252
1197a91100870
1240a825a6064
131aa32c769b5
14c2d1264296
15686689edd7
hex3abc116ecc

252263362252 has 48 divisors (see below), whose sum is σ = 489174777504. Its totient is φ = 112873280000.

The previous prime is 252263362199. The next prime is 252263362259.

252263362252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (252263362259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604752 + ... + 932872.

It is an arithmetic number, because the mean of its divisors is an integer number (10191141198).

Almost surely, 2252263362252 is an apocalyptic number.

252263362252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252263362252 is a deficient number, since it is larger than the sum of its proper divisors (236911415252).

252263362252 is a wasteful number, since it uses less digits than its factorization.

252263362252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328410 (or 328408 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 252263362252 in words is "two hundred fifty-two billion, two hundred sixty-three million, three hundred sixty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 101 173 202 346 404 692 1111 1903 2222 3806 4444 7612 17473 34946 69892 192203 328121 384406 656242 768812 1312484 3609331 7218662 14437324 33140221 56764933 66280442 113529866 132560884 227059732 364542431 624414263 729084862 1248828526 1458169724 2497657052 5733258233 11466516466 22933032932 63065840563 126131681126 252263362252