Search a number
-
+
5338125507 = 3111331401393
BaseRepresentation
bin1001111100010110…
…10101010011000011
3111210000121212120010
410332023111103003
541413030004012
62241410320003
7246166214061
oct47613252303
914700555503
105338125507
11229a261780
12104b889003
13670c17c60
14388d5b031
15213996c3c
hex13e2d54c3

5338125507 has 32 divisors (see below), whose sum is σ = 8631576576. Its totient is φ = 2890022400.

The previous prime is 5338125451. The next prime is 5338125521. The reversal of 5338125507 is 7055218335.

It is not a de Polignac number, because 5338125507 - 27 = 5338125379 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5338125547) 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 31 ways as a sum of consecutive naturals, for example, 187398 + ... + 213995.

It is an arithmetic number, because the mean of its divisors is an integer number (269736768).

Almost surely, 25338125507 is an apocalyptic number.

5338125507 is a deficient number, since it is larger than the sum of its proper divisors (3293451069).

5338125507 is a wasteful number, since it uses less digits than its factorization.

5338125507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401451.

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5338125507 is about 73062.4767373787. The cubic root of 5338125507 is about 1747.6840664810.

The spelling of 5338125507 in words is "five billion, three hundred thirty-eight million, one hundred twenty-five thousand, five hundred seven".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 13299 401393 1204179 4415323 5218109 12443183 13245969 15654327 37329549 57399199 136875013 161761379 172197597 410625039 485284137 1779375169 5338125507