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18356456196 = 22361321932
BaseRepresentation
bin10001000110001000…
…010100101100000100
31202101021220121000000
4101012020110230010
5300043223044241
612233254321300
71216614206001
oct210610245404
952337817000
1018356456196
11786a817261
123683659230
131967037300
14c61cd88a8
15726819eb6
hex446214b04

18356456196 has 189 divisors, whose sum is σ = 52425179919. Its totient is φ = 5618875392.

The previous prime is 18356456179. The next prime is 18356456207. The reversal of 18356456196 is 69165465381.

The square root of 18356456196 is 135486.

It is a perfect power (a square), and thus also a powerful number.

18356456196 is a `hidden beast` number, since 18 + 3 + 5 + 6 + 4 + 5 + 619 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6924569796 + 11431886400 = 83214^2 + 106920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 95111076 + ... + 95111268.

Almost surely, 218356456196 is an apocalyptic number.

18356456196 is the 135486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18356456196

18356456196 is an abundant number, since it is smaller than the sum of its proper divisors (34068723723).

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

18356456196 is an equidigital number, since it uses as much as digits as its factorization.

18356456196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 211 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

It can be divided in two parts, 18356 and 456196, that added together give a cube (474552 = 783).

The spelling of 18356456196 in words is "eighteen billion, three hundred fifty-six million, four hundred fifty-six thousand, one hundred ninety-six".