Search a number
-
+
258507383705852 = 22133609148370093
BaseRepresentation
bin111010110001110001110000…
…110001110001000011111100
31020220022001202001010120002012
4322301301300301301003330
5232340341110212041402
62313444352544350352
7105310353645303011
oct7261616061610374
91226261661116065
10258507383705852
1175406402912606
1224bb05679153b8
13b1321ac384898
1447b9b775ad708
151ed4584b07452
hexeb1c70c710fc

258507383705852 has 12 divisors (see below), whose sum is σ = 452388269428536. Its totient is φ = 129253592440560.

The previous prime is 258507383705819. The next prime is 258507383705897.

258507383705852 is nontrivially palindromic in base 10.

258507383705852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2585073837058522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18840683 + ... + 29529410.

It is an arithmetic number, because the mean of its divisors is an integer number (37699022452378).

Almost surely, 2258507383705852 is an apocalyptic number.

It is an amenable number.

258507383705852 is a deficient number, since it is larger than the sum of its proper divisors (193880885722684).

258507383705852 is a wasteful number, since it uses less digits than its factorization.

258507383705852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49706188 (or 49706186 counting only the distinct ones).

The product of its (nonzero) digits is 564480000, while the sum is 68.

The spelling of 258507383705852 in words is "two hundred fifty-eight trillion, five hundred seven billion, three hundred eighty-three million, seven hundred five thousand, eight hundred fifty-two".

Divisors: 1 2 4 1336091 2672182 5344364 48370093 96740186 193480372 64626845926463 129253691852926 258507383705852