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21344733432 = 23321126950421
BaseRepresentation
bin10011111000001111…
…101100100011111000
32001002112212210201200
4103320033230203320
5322203222432212
613450003414200
71353641145351
oct237017544370
961075783650
1021344733432
119063600170
124178384360
132022175aa9
141066b2cd28
1584dd456dc
hex4f83ec8f8

21344733432 has 48 divisors (see below), whose sum is σ = 63063987480. Its totient is φ = 6468100800.

The previous prime is 21344733427. The next prime is 21344733467. The reversal of 21344733432 is 23433744312.

21344733432 is a `hidden beast` number, since 213 + 4 + 4 + 7 + 3 + 3 + 432 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13474419 + ... + 13476002.

Almost surely, 221344733432 is an apocalyptic number.

21344733432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21344733432 is an abundant number, since it is smaller than the sum of its proper divisors (41719254048).

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

21344733432 is a wasteful number, since it uses less digits than its factorization.

21344733432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26950444 (or 26950437 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The spelling of 21344733432 in words is "twenty-one billion, three hundred forty-four million, seven hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 26950421 53900842 80851263 107801684 161702526 215603368 242553789 296454631 323405052 485107578 592909262 646810104 889363893 970215156 1185818524 1778727786 1940430312 2371637048 2668091679 3557455572 5336183358 7114911144 10672366716 21344733432