Search a number
-
+
362116500066 = 23240150168537
BaseRepresentation
bin1010100010011111101…
…00110100101001100010
31021121200112002011202200
411101033310310221202
521413103311000231
6434204245154030
735106404315226
oct5211764645142
91247615064680
10362116500066
1112a633362172
125a2200bb916
13281bbc02ca9
1413752b38786
159645b37be6
hex544fd34a62

362116500066 has 24 divisors (see below), whose sum is σ = 786542338764. Its totient is φ = 120404486400.

The previous prime is 362116500049. The next prime is 362116500079. The reversal of 362116500066 is 660005611263.

362116500066 is a `hidden beast` number, since 36 + 2 + 116 + 500 + 0 + 6 + 6 = 666.

362116500066 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336266613225 + 25849886841 = 579885^2 + 160779^2 .

It is a super-2 number, since 2×3621165000662 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 362116500066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25077051 + ... + 25091486.

Almost surely, 2362116500066 is an apocalyptic number.

362116500066 is an abundant number, since it is smaller than the sum of its proper divisors (424425838698).

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

362116500066 is a wasteful number, since it uses less digits than its factorization.

362116500066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50168946 (or 50168943 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 362116500066 in words is "three hundred sixty-two billion, one hundred sixteen million, five hundred thousand, sixty-six".

Divisors: 1 2 3 6 9 18 401 802 1203 2406 3609 7218 50168537 100337074 150505611 301011222 451516833 903033666 20117583337 40235166674 60352750011 120705500022 181058250033 362116500066