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5135445315 = 32571113173659
BaseRepresentation
bin1001100100001100…
…01010110101000011
3111020220020122121100
410302012022311003
541004133222230
62205330225443
7241155364530
oct46206126503
914226218540
105135445315
1121a5909090
12bb3a25283
1363ac32a50
1436a07bd87
15200cad660
hex13218ad43

5135445315 has 192 divisors, whose sum is σ = 12038906880. Its totient is φ = 1955681280.

The previous prime is 5135445311. The next prime is 5135445317.

5135445315 is a `hidden beast` number, since 51 + 3 + 544 + 53 + 15 = 666.

5135445315 is nontrivially palindromic in base 10.

5135445315 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5135445315 - 22 = 5135445311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5135445315.

It is not an unprimeable number, because it can be changed into a prime (5135445311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7792456 + ... + 7793114.

It is an arithmetic number, because the mean of its divisors is an integer number (62702640).

Almost surely, 25135445315 is an apocalyptic number.

5135445315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5135445315 is an abundant number, since it is smaller than the sum of its proper divisors (6903461565).

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

5135445315 is a wasteful number, since it uses less digits than its factorization.

5135445315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 5135445315 is about 71662.0214269734. The cubic root of 5135445315 is about 1725.2791331531.

It can be divided in two parts, 51354 and 45315, that added together give a palindrome (96669).

The spelling of 5135445315 in words is "five billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred fifteen".