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13832318952 = 2332192115541
BaseRepresentation
bin11001110000111100…
…00110111111101000
31022200222221121102100
430320132012333220
5211312033201302
610204322333400
7666530525334
oct147036067750
938628847370
1013832318952
115958a8aa61
1228204ba260
1313c595c21a
149531087c4
1555e55ed1c
hex338786fe8

13832318952 has 24 divisors (see below), whose sum is σ = 37462530690. Its totient is φ = 4610772960.

The previous prime is 13832318891. The next prime is 13832318959. The reversal of 13832318952 is 25981323831.

It can be written as a sum of positive squares in only one way, i.e., 13817062116 + 15256836 = 117546^2 + 3906^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 13832318898 and 13832318907.

It is not an unprimeable number, because it can be changed into a prime (13832318959) 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 5 ways as a sum of consecutive naturals, for example, 96057699 + ... + 96057842.

Almost surely, 213832318952 is an apocalyptic number.

13832318952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13832318952 is an abundant number, since it is smaller than the sum of its proper divisors (23630211738).

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

13832318952 is a wasteful number, since it uses less digits than its factorization.

13832318952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192115553 (or 192115546 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 13832318952 in words is "thirteen billion, eight hundred thirty-two million, three hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 192115541 384231082 576346623 768462164 1152693246 1536924328 1729039869 2305386492 3458079738 4610772984 6916159476 13832318952