Search a number
-
+
258407707704852 = 223157628313661237
BaseRepresentation
bin111010110000010100111011…
…100111111111111000010100
31020212221112110110011001220110
4322300110323213333320110
5232332222441133023402
62313330510114003020
7105300224614260006
oct7260247347777024
91225845413131813
10258407707704852
1175378103362782
1224b9518a576470
13b125985a26634
1447b4ddd5ac376
151ed1b9e06c56c
hexeb053b9ffe14

258407707704852 has 24 divisors (see below), whose sum is σ = 602951744628576. Its totient is φ = 86135841618208.

The previous prime is 258407707704823. The next prime is 258407707704911.

258407707704852 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12084778 + ... + 25746014.

It is an arithmetic number, because the mean of its divisors is an integer number (25122989359524).

Almost surely, 2258407707704852 is an apocalyptic number.

It is an amenable number.

258407707704852 is an abundant number, since it is smaller than the sum of its proper divisors (344544036923724).

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

258407707704852 is a wasteful number, since it uses less digits than its factorization.

258407707704852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15237527 (or 15237525 counting only the distinct ones).

The product of its (nonzero) digits is 245862400, while the sum is 66.

The spelling of 258407707704852 in words is "two hundred fifty-eight trillion, four hundred seven billion, seven hundred seven million, seven hundred four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 1576283 3152566 4728849 6305132 9457698 13661237 18915396 27322474 40983711 54644948 81967422 163934844 21533975642071 43067951284142 64601926926213 86135902568284 129203853852426 258407707704852