Search a number
-
+
5257607106905 = 531791831234499
BaseRepresentation
bin100110010000010000111…
…0011011101000101011001
3200121121210200100001102122
41030200201303131011121
51142120034404410110
615103151130511025
71051564256020136
oct114404163350531
920547720301378
105257607106905
11174781416781a
1270ab61b95475
132c1a3717273a
141426805cb58d
1591b682c8255
hex4c821cdd159

5257607106905 has 32 divisors (see below), whose sum is σ = 6598717440000. Its totient is φ = 4016669342400.

The previous prime is 5257607106887. The next prime is 5257607106911. The reversal of 5257607106905 is 5096017067525.

It is a happy number.

It is not a de Polignac number, because 5257607106905 - 220 = 5257606058329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22303346 + ... + 22537844.

It is an arithmetic number, because the mean of its divisors is an integer number (206209920000).

Almost surely, 25257607106905 is an apocalyptic number.

It is an amenable number.

5257607106905 is a deficient number, since it is larger than the sum of its proper divisors (1341110333095).

5257607106905 is a wasteful number, since it uses less digits than its factorization.

5257607106905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236445.

The product of its (nonzero) digits is 3969000, while the sum is 53.

The spelling of 5257607106905 in words is "five trillion, two hundred fifty-seven billion, six hundred seven million, one hundred six thousand, nine hundred five".

Divisors: 1 5 31 79 155 395 1831 2449 9155 12245 56761 144649 234499 283805 723245 1172495 4484119 7269469 18525421 22420595 36347345 92627105 429367669 574288051 2146838345 2871440255 13310397739 33920045851 66551988695 169600229255 1051521421381 5257607106905