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21383682732 = 2232724382009
BaseRepresentation
bin10011111010100100…
…010001101010101100
32001012021011122010100
4103322210101222230
5322243210321412
613453514311100
71354623206226
oct237244215254
961167148110
1021383682732
119083593375
124189428490
13202a262309
14106bd8b416
1585248aedc
hex4fa911aac

21383682732 has 36 divisors (see below), whose sum is σ = 54061320040. Its totient is φ = 7126823232.

The previous prime is 21383682709. The next prime is 21383682767. The reversal of 21383682732 is 23728638312.

21383682732 is a `hidden beast` number, since 2 + 13 + 8 + 368 + 273 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×213836827323 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 219744 + ... + 301752.

Almost surely, 221383682732 is an apocalyptic number.

It is an amenable number.

21383682732 is an abundant number, since it is smaller than the sum of its proper divisors (32677637308).

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

21383682732 is a wasteful number, since it uses less digits than its factorization.

21383682732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89262 (or 89257 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 21383682732 in words is "twenty-one billion, three hundred eighty-three million, six hundred eighty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7243 14486 21729 28972 43458 65187 82009 86916 130374 164018 246027 260748 328036 492054 738081 984108 1476162 2952324 593991187 1187982374 1781973561 2375964748 3563947122 5345920683 7127894244 10691841366 21383682732