Search a number
-
+
5257781631 = 331953193379
BaseRepresentation
bin1001110010110001…
…10110000101111111
3111120102102222111000
410321120312011333
541231443003011
62225420301343
7244202256264
oct47130660577
914512388430
105257781631
112258976183
1210289a1853
1365a3971bb
1437c40526b
1520b8c6356
hex13963617f

5257781631 has 32 divisors (see below), whose sum is σ = 8354016000. Its totient is φ = 3258032544.

The previous prime is 5257781579. The next prime is 5257781647. The reversal of 5257781631 is 1361877525.

It is a happy number.

5257781631 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 7 + 8 + 1 + 631 = 666.

It is not a de Polignac number, because 5257781631 - 213 = 5257773439 is a prime.

It is a super-2 number, since 2×52577816312 = 55288535358562040322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257781231) by changing a digit.

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, 69501 + ... + 123878.

It is an arithmetic number, because the mean of its divisors is an integer number (261063000).

Almost surely, 25257781631 is an apocalyptic number.

5257781631 is a deficient number, since it is larger than the sum of its proper divisors (3096234369).

5257781631 is a wasteful number, since it uses less digits than its factorization.

5257781631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193460 (or 193454 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5257781631 is about 72510.5622030336. The cubic root of 5257781631 is about 1738.8716019183.

The spelling of 5257781631 in words is "five billion, two hundred fifty-seven million, seven hundred eighty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 19 27 53 57 159 171 477 513 1007 1431 3021 9063 27189 193379 580137 1740411 3674201 5221233 10249087 11022603 30747261 33067809 92241783 99203427 194732653 276725349 584197959 1752593877 5257781631