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27382545252 = 22321766892
BaseRepresentation
bin11001100000001000…
…000111101101100100
32121200100002102110200
4121200020013231210
5422034412422002
620325050550500
71656364536306
oct314010075544
977610072420
1027382545252
1110681807597
125382438430
1327750203ca
14147a981976
15aa3e4bb1c
hex660207b64

27382545252 has 54 divisors (see below), whose sum is σ = 73299535218. Its totient is φ = 8589318144.

The previous prime is 27382545181. The next prime is 27382545293. The reversal of 27382545252 is 25254528372.

27382545252 is a `hidden beast` number, since 2 + 7 + 3 + 82 + 545 + 25 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16989558336 + 10392986916 = 130344^2 + 101946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27382545198 and 27382545207.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4090324 + ... + 4097012.

Almost surely, 227382545252 is an apocalyptic number.

It is an amenable number.

27382545252 is an abundant number, since it is smaller than the sum of its proper divisors (45916989966).

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

27382545252 is an equidigital number, since it uses as much as digits as its factorization.

27382545252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405 (or 6711 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 27382545252 in words is "twenty-seven billion, three hundred eighty-two million, five hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6689 13378 20067 26756 40134 60201 80268 113713 120402 227426 240804 341139 454852 682278 1023417 1364556 2046834 4093668 44742721 89485442 134228163 178970884 268456326 402684489 536912652 760626257 805368978 1521252514 1610737956 2281878771 3042505028 4563757542 6845636313 9127515084 13691272626 27382545252