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13395640509 = 3219593132103
BaseRepresentation
bin11000111100111000…
…10100000010111101
31021120120021001012200
430132130110002331
5204413240444014
610053123022113
7652646031336
oct143634240275
937516231180
1013395640509
115754542a89
12271a20a939
131356347c04
1491111728d
15536053a09
hex31e7140bd

13395640509 has 24 divisors (see below), whose sum is σ = 20402141760. Its totient is φ = 8446073472.

The previous prime is 13395640493. The next prime is 13395640523. The reversal of 13395640509 is 90504659331.

13395640509 is a `hidden beast` number, since 1 + 3 + 39 + 564 + 0 + 50 + 9 = 666.

13395640509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13395640509 - 24 = 13395640493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395680509) 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 23 ways as a sum of consecutive naturals, for example, 35352 + ... + 167454.

It is an arithmetic number, because the mean of its divisors is an integer number (850089240).

Almost surely, 213395640509 is an apocalyptic number.

13395640509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13395640509 is a deficient number, since it is larger than the sum of its proper divisors (7006501251).

13395640509 is a wasteful number, since it uses less digits than its factorization.

13395640509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132721 (or 132718 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 13395640509 in words is "thirteen billion, three hundred ninety-five million, six hundred forty thousand, five hundred nine".

Divisors: 1 3 9 19 57 171 593 1779 5337 11267 33801 101403 132103 396309 1188927 2509957 7529871 22589613 78337079 235011237 705033711 1488404501 4465213503 13395640509