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13828837632 = 28318006299
BaseRepresentation
bin11001110000100001…
…10101000100000000
31022200202101201221120
430320100311010000
5211310140301012
610204115552240
7666456115611
oct147020650400
938622351846
1013828837632
115957022435
12281b2bb680
1313c501077c
1495287dc08
1555e0c358c
hex338435100

13828837632 has 36 divisors (see below), whose sum is σ = 36804877200. Its totient is φ = 4609612288.

The previous prime is 13828837613. The next prime is 13828837669. The reversal of 13828837632 is 23673882831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9002382 + ... + 9003917.

It is an arithmetic number, because the mean of its divisors is an integer number (1022357700).

Almost surely, 213828837632 is an apocalyptic number.

13828837632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13828837632 is an abundant number, since it is smaller than the sum of its proper divisors (22976039568).

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

13828837632 is an equidigital number, since it uses as much as digits as its factorization.

13828837632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18006318 (or 18006304 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 13828837632 in words is "thirteen billion, eight hundred twenty-eight million, eight hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 18006299 36012598 54018897 72025196 108037794 144050392 216075588 288100784 432151176 576201568 864302352 1152403136 1728604704 2304806272 3457209408 4609612544 6914418816 13828837632