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432252132345 = 335111193243989
BaseRepresentation
bin1100100101001000011…
…11000001101111111001
31112022201101122110011000
412102210033001233321
524040223021213340
6530323543155213
743141416334245
oct6224417015771
91468641573130
10432252132345
11157354072830
126b934445b09
13319b8488917
1416cc7779425
15b39d0dad30
hex64a43c1bf9

432252132345 has 64 divisors (see below), whose sum is σ = 839013292800. Its totient is φ = 209400261120.

The previous prime is 432252132343. The next prime is 432252132397. The reversal of 432252132345 is 543231252234.

432252132345 is a `hidden beast` number, since 4 + 32 + 252 + 1 + 32 + 345 = 666.

432252132345 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 432252132345 - 21 = 432252132343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (432252132343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649611 + ... + 1893599.

It is an arithmetic number, because the mean of its divisors is an integer number (13109582700).

Almost surely, 2432252132345 is an apocalyptic number.

432252132345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432252132345 is a deficient number, since it is larger than the sum of its proper divisors (406761160455).

432252132345 is a wasteful number, since it uses less digits than its factorization.

432252132345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245207 (or 245201 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 432252132345 its reverse (543231252234), we get a palindrome (975483384579).

The spelling of 432252132345 in words is "four hundred thirty-two billion, two hundred fifty-two million, one hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1193 1485 3579 5965 10737 13123 17895 32211 39369 53685 65615 118107 161055 196845 243989 354321 590535 731967 1219945 1771605 2195901 2683879 3659835 6587703 8051637 10979505 13419395 24154911 32938515 40258185 72464733 120774555 291078877 362323665 873236631 1455394385 2619709893 3201867647 4366183155 7859129679 9605602941 13098549465 16009338235 28816808823 39295648395 48028014705 86450426469 144084044115 432252132345