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21664089360 = 2433510029671
BaseRepresentation
bin10100001011010001…
…111100010100010000
32001220210210202201000
4110023101330110100
5323332001324420
613541412342000
71364566502244
oct241321742420
961823722630
1021664089360
1192078a4a91
124247314900
13207338cab4
141097300424
1586bdc9690
hex50b47c510

21664089360 has 80 divisors (see below), whose sum is σ = 74620759680. Its totient is φ = 5777089920.

The previous prime is 21664089329. The next prime is 21664089361. The reversal of 21664089360 is 6398046612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21664089361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5012676 + ... + 5016995.

It is an arithmetic number, because the mean of its divisors is an integer number (932759496).

Almost surely, 221664089360 is an apocalyptic number.

21664089360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21664089360 is an abundant number, since it is smaller than the sum of its proper divisors (52956670320).

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

21664089360 is a wasteful number, since it uses less digits than its factorization.

21664089360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029693 (or 10029681 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21664089360 in words is "twenty-one billion, six hundred sixty-four million, eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10029671 20059342 30089013 40118684 50148355 60178026 80237368 90267039 100296710 120356052 150445065 160474736 180534078 200593420 240712104 270801117 300890130 361068156 401186840 451335195 481424208 541602234 601780260 722136312 802373680 902670390 1083204468 1203560520 1354005585 1444272624 1805340780 2166408936 2407121040 2708011170 3610681560 4332817872 5416022340 7221363120 10832044680 21664089360