Search a number
-
+
22643097912 = 2333177186851
BaseRepresentation
bin10101000101101000…
…100100000100111000
32011110000222112222000
4111011220210010320
5332333113113122
614222504101000
71431055104501
oct250550440470
964400875860
1022643097912
11966a490666
12447b164760
13219b15a4b6
14114b345ba8
158c7d110ac
hex545a24138

22643097912 has 128 divisors (see below), whose sum is σ = 67536115200. Its totient is φ = 7003584000.

The previous prime is 22643097881. The next prime is 22643097973. The reversal of 22643097912 is 21979034622.

22643097912 is a `hidden beast` number, since 2 + 264 + 309 + 79 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217287 + ... + 304137.

It is an arithmetic number, because the mean of its divisors is an integer number (527625900).

Almost surely, 222643097912 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 22643097912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33768057600).

22643097912 is an abundant number, since it is smaller than the sum of its proper divisors (44893017288).

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

22643097912 is a wasteful number, since it uses less digits than its factorization.

22643097912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86954 (or 86944 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 22643097912 in words is "twenty-two billion, six hundred forty-three million, ninety-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 71 72 102 108 136 142 153 204 213 216 284 306 408 426 459 568 612 639 852 918 1207 1224 1278 1704 1836 1917 2414 2556 3621 3672 3834 4828 5112 7242 7668 9656 10863 14484 15336 21726 28968 32589 43452 65178 86851 86904 130356 173702 260553 260712 347404 521106 694808 781659 1042212 1476467 1563318 2084424 2344977 2952934 3126636 4429401 4689954 5905868 6166421 6253272 8858802 9379908 11811736 12332842 13288203 17717604 18499263 18759816 24665684 26576406 35435208 36998526 39864609 49331368 53152812 55497789 73997052 79729218 104829157 106305624 110995578 147994104 159458436 166493367 209658314 221991156 314487471 318916872 332986734 419316628 443982312 628974942 665973468 838633256 943462413 1257949884 1331946936 1886924826 2515899768 2830387239 3773849652 5660774478 7547699304 11321548956 22643097912