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20912845664 = 2517437571181
BaseRepresentation
bin10011011110100000…
…001011001101100000
31222222110012122002102
4103132200023031200
5320312142030124
613335054505532
71340145153344
oct233640131540
958873178072
1020912845664
118961835527
1240778052a8
131c8384b1b9
141025627624
15825e83aae
hex4de80b360

20912845664 has 96 divisors (see below), whose sum is σ = 44704620576. Its totient is φ = 9591644160.

The previous prime is 20912845663. The next prime is 20912845693. The reversal of 20912845664 is 46654821902.

It is a super-2 number, since 2×209128456642 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20912845663) 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, 17707154 + ... + 17708334.

It is an arithmetic number, because the mean of its divisors is an integer number (465673131).

Almost surely, 220912845664 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 20912845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352310288).

20912845664 is an abundant number, since it is smaller than the sum of its proper divisors (23791774912).

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

20912845664 is a wasteful number, since it uses less digits than its factorization.

20912845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 20912845664 in words is "twenty billion, nine hundred twelve million, eight hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 757 1181 1376 1462 1514 2362 2924 3028 4724 5848 6056 9448 11696 12112 12869 18896 20077 23392 24224 25738 32551 37792 40154 50783 51476 65102 80308 101566 102952 130204 160616 203132 205904 260408 321232 406264 411808 520816 553367 642464 812528 863311 894017 1041632 1106734 1625056 1726622 1788034 2213468 3453244 3576068 4426936 6906488 7152136 8853872 13812976 14304272 15198289 17707744 27625952 28608544 30396578 38442731 60793156 76885462 121586312 153770924 243172624 307541848 486345248 615083696 653526427 1230167392 1307052854 2614105708 5228211416 10456422832 20912845664