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22145972672 = 26794380137
BaseRepresentation
bin10100101000000000…
…001011100111000000
32010011101112222100002
4110220000023213000
5330323332111142
614101305015132
71412540442665
oct245000134700
963141488302
1022145972672
11943490805a
1243607844a8
13211c170a55
1411012dba6c
15899364a32
hex52800b9c0

22145972672 has 28 divisors (see below), whose sum is σ = 44502202080. Its totient is φ = 10932819456.

The previous prime is 22145972663. The next prime is 22145972729. The reversal of 22145972672 is 27627954122.

It is a congruent 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, 2185013 + ... + 2195124.

It is an arithmetic number, because the mean of its divisors is an integer number (1589364360).

Almost surely, 222145972672 is an apocalyptic number.

It is an amenable number.

22145972672 is an abundant number, since it is smaller than the sum of its proper divisors (22356229408).

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

22145972672 is an equidigital number, since it uses as much as digits as its factorization.

22145972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380228 (or 4380218 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The spelling of 22145972672 in words is "twenty-two billion, one hundred forty-five million, nine hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 4380137 8760274 17520548 35041096 70082192 140164384 280328768 346030823 692061646 1384123292 2768246584 5536493168 11072986336 22145972672