Search a number
-
+
2057258817 = 3425398257
BaseRepresentation
bin111101010011111…
…0100011101000001
312022101002120120000
41322213310131001
513203124240232
6540050110213
7101660261055
oct17247643501
95271076500
102057258817
119662a5aa9
12494b7b369
1326a2a4713
14157321c65
15c092327c
hex7a9f4741

2057258817 has 10 divisors (see below), whose sum is σ = 3073189218. Its totient is φ = 1371505824.

The previous prime is 2057258813. The next prime is 2057258837. The reversal of 2057258817 is 7188527502.

2057258817 is a `hidden beast` number, since 2 + 0 + 57 + 2 + 588 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1916338176 + 140920641 = 43776^2 + 11871^2 .

It is not a de Polignac number, because 2057258817 - 22 = 2057258813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2057258813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12699048 + ... + 12699209.

Almost surely, 22057258817 is an apocalyptic number.

2057258817 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2057258817 is a deficient number, since it is larger than the sum of its proper divisors (1015930401).

2057258817 is an equidigital number, since it uses as much as digits as its factorization.

2057258817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25398269 (or 25398260 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2057258817 is about 45357.0150803600. The cubic root of 2057258817 is about 1271.8316960926.

The spelling of 2057258817 in words is "two billion, fifty-seven million, two hundred fifty-eight thousand, eight hundred seventeen".

Divisors: 1 3 9 27 81 25398257 76194771 228584313 685752939 2057258817