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252417714252 = 223112173841401
BaseRepresentation
bin1110101100010101000…
…1001010100001001100
3220010112102110110120120
43223011101022201030
513113422413324002
6311543055344540
724144101112234
oct3530521124114
9803472413516
10252417714252
1198060245800
1240b06222150
131aa58c3a742
14c307962cc4
1568751ddcbc
hex3ac544a84c

252417714252 has 36 divisors (see below), whose sum is σ = 647385381048. Its totient is φ = 76490216000.

The previous prime is 252417714251. The next prime is 252417714253.

252417714252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (252417714251) and next prime (252417714253).

It is not an unprimeable number, because it can be changed into a prime (252417714251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86919249 + ... + 86922152.

Almost surely, 2252417714252 is an apocalyptic number.

252417714252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252417714252 is an abundant number, since it is smaller than the sum of its proper divisors (394967666796).

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

252417714252 is a wasteful number, since it uses less digits than its factorization.

252417714252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173841430 (or 173841417 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 252417 and 714252, that added together give a palindrome (966669).

The spelling of 252417714252 in words is "two hundred fifty-two billion, four hundred seventeen million, seven hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 173841401 347682802 521524203 695365604 1043048406 1912255411 2086096812 3824510822 5736766233 7649021644 11473532466 21034809521 22947064932 42069619042 63104428563 84139238084 126208857126 252417714252