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21893828832 = 253276020239
BaseRepresentation
bin10100011000111110…
…010101000011100000
32002111211002202000100
4110120332111003200
5324314310010312
614020300422400
71403356321521
oct243076250340
962454082010
1021893828832
11931554a717
1242b0247a00
1320abb5a605
1410b9a24848
1588215a5dc
hex518f950e0

21893828832 has 36 divisors (see below), whose sum is σ = 62260576560. Its totient is φ = 7297942848.

The previous prime is 21893828773. The next prime is 21893828837. The reversal of 21893828832 is 23882839812.

It is a happy number.

21893828832 is a `hidden beast` number, since 2 + 189 + 382 + 8 + 83 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21893828837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38009832 + ... + 38010407.

It is an arithmetic number, because the mean of its divisors is an integer number (1729460460).

Almost surely, 221893828832 is an apocalyptic number.

It is an amenable number.

21893828832 is an abundant number, since it is smaller than the sum of its proper divisors (40366747728).

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

21893828832 is a wasteful number, since it uses less digits than its factorization.

21893828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76020255 (or 76020244 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 21893828832 in words is "twenty-one billion, eight hundred ninety-three million, eight hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 76020239 152040478 228060717 304080956 456121434 608161912 684182151 912242868 1216323824 1368364302 1824485736 2432647648 2736728604 3648971472 5473457208 7297942944 10946914416 21893828832