Search a number
-
+
259143187961 = 7212741642807
BaseRepresentation
bin1111000101011000100…
…0110011110111111001
3220202220010121221002102
43301112020303313321
513221211124003321
6315014305513145
724502544516300
oct3612610636771
9822803557072
10259143187961
119a9a1634739
12422826427b5
131b58b3c4598
14c784c5b437
156b1a87bc0b
hex3c56233df9

259143187961 has 12 divisors (see below), whose sum is σ = 303825927168. Its totient is φ = 220373729352.

The previous prime is 259143187949. The next prime is 259143187973. The reversal of 259143187961 is 169781341952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (259143187949) and next prime (259143187973).

It is not a de Polignac number, because 259143187961 - 218 = 259142925817 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 259143187897 and 259143187906.

It is not an unprimeable number, because it can be changed into a prime (259143187931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20815181 + ... + 20827626.

It is an arithmetic number, because the mean of its divisors is an integer number (25318827264).

Almost surely, 2259143187961 is an apocalyptic number.

It is an amenable number.

259143187961 is a deficient number, since it is larger than the sum of its proper divisors (44682739207).

259143187961 is a wasteful number, since it uses less digits than its factorization.

259143187961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41642948 (or 41642941 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 56.

The spelling of 259143187961 in words is "two hundred fifty-nine billion, one hundred forty-three million, one hundred eighty-seven thousand, nine hundred sixty-one".

Divisors: 1 7 49 127 889 6223 41642807 291499649 2040497543 5288636489 37020455423 259143187961