Search a number
-
+
11537465125 = 53293978017
BaseRepresentation
bin10101011111010111…
…11011111100100101
31002210001202221210011
422233223323330211
5142112042341000
65144503530221
7555623556364
oct125753737445
932701687704
1011537465125
11499066434a
12229ba59971
13111b399554
147b64197db
15477d582ba
hex2afafbf25

11537465125 has 32 divisors (see below), whose sum is σ = 14934647520. Its totient is φ = 8888140800.

The previous prime is 11537465101. The next prime is 11537465167. The reversal of 11537465125 is 52156473511.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6627099649 + 4910365476 = 81407^2 + 70074^2 .

It is not a de Polignac number, because 11537465125 - 213 = 11537456933 is a prime.

It is a super-2 number, since 2×115374651252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435117 + ... + 1443133.

It is an arithmetic number, because the mean of its divisors is an integer number (466707735).

Almost surely, 211537465125 is an apocalyptic number.

It is an amenable number.

11537465125 is a deficient number, since it is larger than the sum of its proper divisors (3397182395).

11537465125 is an equidigital number, since it uses as much as digits as its factorization.

11537465125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 8448 counting only the distinct ones).

The product of its digits is 126000, while the sum is 40.

The spelling of 11537465125 in words is "eleven billion, five hundred thirty-seven million, four hundred sixty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 397 725 1985 3625 8017 9925 11513 40085 49625 57565 200425 232493 287825 1002125 1162465 1439125 3182749 5812325 15913745 29061625 79568725 92299721 397843625 461498605 2307493025 11537465125