Search a number
-
+
852342682248 = 23321088032
BaseRepresentation
bin11000110011100111001…
…01010011001010001000
310000111001020010111111200
430121303211103022020
5102431044211312443
61451321045424200
7115402563155121
oct14316345231210
93014036114450
10852342682248
112a9527250682
12119233a0b060
13624b6186bc5
142d379c75048
1517288689dd3
hexc673953288

852342682248 has 36 divisors (see below), whose sum is σ = 2308449314535. Its totient is φ = 284111616144.

The previous prime is 852342682231. The next prime is 852342682267. The reversal of 852342682248 is 842286243258.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

852342682248 is a `hidden beast` number, since 8 + 52 + 342 + 6 + 8 + 2 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426171341124 + 426171341124 = 652818^2 + 652818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=652818.

It is a junction number, because it is equal to n+sod(n) for n = 852342682194 and 852342682203.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7779415 + ... + 7888217.

Almost surely, 2852342682248 is an apocalyptic number.

It is an amenable number.

852342682248 is an abundant number, since it is smaller than the sum of its proper divisors (1456106632287).

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

852342682248 is an frugal number, since it uses more digits than its factorization.

852342682248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217618 (or 108808 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 852342682248 in words is "eight hundred fifty-two billion, three hundred forty-two million, six hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 108803 217606 326409 435212 652818 870424 979227 1305636 1958454 2611272 3916908 7833816 11838092809 23676185618 35514278427 47352371236 71028556854 94704742472 106542835281 142057113708 213085670562 284114227416 426171341124 852342682248