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21689330868 = 22327950914983
BaseRepresentation
bin10100001100110010…
…001110110010110100
32001222120022011112200
4110030302032302310
5323404432041433
613544113344500
71365324161532
oct241462166264
961876264480
1021689330868
119220075337
124253868130
132078689bba
14109a7d1152
1586e213613
hex50cc8ecb4

21689330868 has 72 divisors (see below), whose sum is σ = 55632595200. Its totient is φ = 7123761216.

The previous prime is 21689330867. The next prime is 21689330879. The reversal of 21689330868 is 86803398612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21689330867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440105 + ... + 1455087.

Almost surely, 221689330868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21689330868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816297600).

21689330868 is an abundant number, since it is smaller than the sum of its proper divisors (33943264332).

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

21689330868 is a wasteful number, since it uses less digits than its factorization.

21689330868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15576 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 21689330868 in words is "twenty-one billion, six hundred eighty-nine million, three hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 509 711 948 1018 1422 1527 2036 2844 3054 4581 6108 9162 14983 18324 29966 40211 44949 59932 80422 89898 120633 134847 160844 179796 241266 269694 361899 482532 539388 723798 1183657 1447596 2367314 3550971 4734628 7101942 7626347 10652913 14203884 15252694 21305826 22879041 30505388 42611652 45758082 68637123 91516164 137274246 274548492 602481413 1204962826 1807444239 2409925652 3614888478 5422332717 7229776956 10844665434 21689330868