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22966625664 = 273243945413
BaseRepresentation
bin10101011000111010…
…101110010110000000
32012021120202110121100
4111120322232112000
5334013424010124
614314542254400
71442064045213
oct253072562600
965246673540
1022966625664
119816074874
12454b587400
1322201a5338
14117c2c177a
158e641b1c9
hex558eae580

22966625664 has 96 divisors (see below), whose sum is σ = 66240860400. Its totient is φ = 7637935104.

The previous prime is 22966625663. The next prime is 22966625701. The reversal of 22966625664 is 46652666922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22966625664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22966625663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483022 + ... + 528434.

Almost surely, 222966625664 is an apocalyptic number.

22966625664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22966625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33120430200).

22966625664 is an abundant number, since it is smaller than the sum of its proper divisors (43274234736).

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

22966625664 is a wasteful number, since it uses less digits than its factorization.

22966625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45872 (or 45857 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 22966625664 in words is "twenty-two billion, nine hundred sixty-six million, six hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 439 576 878 1152 1317 1756 2634 3512 3951 5268 7024 7902 10536 14048 15804 21072 28096 31608 42144 45413 56192 63216 84288 90826 126432 136239 168576 181652 252864 272478 363304 408717 505728 544956 726608 817434 1089912 1453216 1634868 2179824 2906432 3269736 4359648 5812864 6539472 8719296 13078944 17438592 19936307 26157888 39872614 52315776 59808921 79745228 119617842 159490456 179426763 239235684 318980912 358853526 478471368 637961824 717707052 956942736 1275923648 1435414104 1913885472 2551847296 2870828208 3827770944 5741656416 7655541888 11483312832 22966625664