Search a number
-
+
10497239160 = 233587476993
BaseRepresentation
bin10011100011010111…
…10010100001111000
31000002120102000000120
421301223302201320
5132444243123120
64453344133240
7521063026542
oct116153624170
930076360016
1010497239160
1144a7466171
12204b607220
13cb3a16a25
147181da692
1541687d140
hex271af2878

10497239160 has 32 divisors (see below), whose sum is σ = 31491717840. Its totient is φ = 2799263744.

The previous prime is 10497239147. The next prime is 10497239167. The reversal of 10497239160 is 6193279401.

10497239160 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 2×104972391602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497239167) 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 7 ways as a sum of consecutive naturals, for example, 43738377 + ... + 43738616.

Almost surely, 210497239160 is an apocalyptic number.

10497239160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10497239160 is an abundant number, since it is smaller than the sum of its proper divisors (20994478680).

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

10497239160 is a wasteful number, since it uses less digits than its factorization.

10497239160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87477007 (or 87477003 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10497239160 in words is "ten billion, four hundred ninety-seven million, two hundred thirty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 87476993 174953986 262430979 349907972 437384965 524861958 699815944 874769930 1049723916 1312154895 1749539860 2099447832 2624309790 3499079720 5248619580 10497239160