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21746666960 = 245271833337
BaseRepresentation
bin10100010000001100…
…111100110111010000
32002010120012010212122
4110100030330313100
5324014121320320
613553522313412
71366621422254
oct242014746720
962116163778
1021746666960
11924a476837
12426aab8868
132087513495
1410a4278264
1587428bd25
hex51033cdd0

21746666960 has 20 divisors (see below), whose sum is σ = 50561000868. Its totient is φ = 8698666752.

The previous prime is 21746666939. The next prime is 21746666969. The reversal of 21746666960 is 6966664712.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14828419984 + 6918246976 = 121772^2 + 83176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21746666969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135916589 + ... + 135916748.

Almost surely, 221746666960 is an apocalyptic number.

21746666960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21746666960 is an abundant number, since it is smaller than the sum of its proper divisors (28814333908).

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

21746666960 is a wasteful number, since it uses less digits than its factorization.

21746666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271833350 (or 271833344 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 53.

The spelling of 21746666960 in words is "twenty-one billion, seven hundred forty-six million, six hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271833337 543666674 1087333348 1359166685 2174666696 2718333370 4349333392 5436666740 10873333480 21746666960