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21324500032 = 2611271111773
BaseRepresentation
bin10011110111000010…
…100000110001000000
32001001010210211201111
4103313002200301000
5322133033000112
613444002013104
71353304155013
oct236702406100
961033724644
1021324500032
119053140550
124171647194
13201ac10374
14106418337a
1584c19a5a7
hex4f70a0c40

21324500032 has 56 divisors (see below), whose sum is σ = 46333452672. Its totient is φ = 9657100800.

The previous prime is 21324500011. The next prime is 21324500059. The reversal of 21324500032 is 23000542312.

It is a super-2 number, since 2×213245000322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21324499976 and 21324500012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134898 + ... + 246670.

Almost surely, 221324500032 is an apocalyptic number.

21324500032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21324500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166726336).

21324500032 is an abundant number, since it is smaller than the sum of its proper divisors (25008952640).

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

21324500032 is a wasteful number, since it uses less digits than its factorization.

21324500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112067 (or 112057 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 21324500032 in words is "twenty-one billion, three hundred twenty-four million, five hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 271 352 542 704 1084 2168 2981 4336 5962 8672 11924 17344 23848 47696 95392 111773 190784 223546 447092 894184 1229503 1788368 2459006 3576736 4918012 7153472 9836024 19672048 30290483 39344096 60580966 78688192 121161932 242323864 333195313 484647728 666390626 969295456 1332781252 1938590912 2665562504 5331125008 10662250016 21324500032