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13252217967 = 3264110632161
BaseRepresentation
bin11000101011110010…
…01100110001101111
31021012120101102110200
430111321030301233
5204120031433332
610031001004543
7646254664662
oct142571146157
937176342420
1013252217967
11569059355a
12269a183753
13133270cac1
148da0616d9
1552867317c
hex315e4cc6f

13252217967 has 24 divisors (see below), whose sum is σ = 19198871328. Its totient is φ = 8808652800.

The previous prime is 13252217959. The next prime is 13252217969. The reversal of 13252217967 is 76971225231.

It is a happy number.

13252217967 is a `hidden beast` number, since 1 + 32 + 522 + 1 + 7 + 96 + 7 = 666.

It is not a de Polignac number, because 13252217967 - 23 = 13252217959 is a prime.

It is a super-2 number, since 2×132522179672 (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 (13252217969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6131367 + ... + 6133527.

It is an arithmetic number, because the mean of its divisors is an integer number (799952972).

Almost surely, 213252217967 is an apocalyptic number.

13252217967 is a deficient number, since it is larger than the sum of its proper divisors (5946653361).

13252217967 is a wasteful number, since it uses less digits than its factorization.

13252217967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3868 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 13252217967 in words is "thirteen billion, two hundred fifty-two million, two hundred seventeen thousand, nine hundred sixty-seven".

Divisors: 1 3 9 641 1063 1923 2161 3189 5769 6483 9567 19449 681383 1385201 2044149 2297143 4155603 6132447 6891429 12466809 20674287 1472468663 4417405989 13252217967