Search a number
-
+
2564869192146 = 232142492732897
BaseRepresentation
bin100101010100101110000…
…111011111100111010010
3100002012101010212221212200
4211110232013133213102
5314010323003122041
65242141252104030
7353206564262532
oct45245607374722
910065333787780
102564869192146
118a983387a488
12355109605016
13157b34b5b7c1
148c1d70d74c2
1546ab8a7c1b6
hex2552e1df9d2

2564869192146 has 12 divisors (see below), whose sum is σ = 5557216583022. Its totient is φ = 854956397376.

The previous prime is 2564869192139. The next prime is 2564869192147. The reversal of 2564869192146 is 6412919684652.

2564869192146 is a `hidden beast` number, since 2 + 5 + 6 + 486 + 9 + 1 + 9 + 2 + 146 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2525858597025 + 39010595121 = 1589295^2 + 197511^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2564869192147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71246366431 + ... + 71246366466.

Almost surely, 22564869192146 is an apocalyptic number.

2564869192146 is an abundant number, since it is smaller than the sum of its proper divisors (2992347390876).

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

2564869192146 is a wasteful number, since it uses less digits than its factorization.

2564869192146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142492732905 (or 142492732902 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 2564869192146 in words is "two trillion, five hundred sixty-four billion, eight hundred sixty-nine million, one hundred ninety-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 142492732897 284985465794 427478198691 854956397382 1282434596073 2564869192146