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22989965616 = 243613714387
BaseRepresentation
bin10101011010010011…
…110000100100110000
32012100012200021000000
4111122103300210300
5334040412344431
614321134430000
71442466324552
oct253223604460
965305607000
1022989965616
119828266492
124557362300
132224c87a67
1411814394d2
158e84cb9e6
hex55a4f0930

22989965616 has 140 divisors (see below), whose sum is σ = 67276187352. Its totient is φ = 7606856448.

The previous prime is 22989965611. The next prime is 22989965633. The reversal of 22989965616 is 61656998922.

22989965616 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 9 + 9 + 6 + 5 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (22989965611) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1590775 + ... + 1605161.

Almost surely, 222989965616 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 22989965616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33638093676).

22989965616 is an abundant number, since it is smaller than the sum of its proper divisors (44286221736).

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

22989965616 is a wasteful number, since it uses less digits than its factorization.

22989965616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14550 (or 14529 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 22989965616 in words is "twenty-two billion, nine hundred eighty-nine million, nine hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 243 274 324 411 432 486 548 648 729 822 972 1096 1233 1296 1458 1644 1944 2192 2466 2916 3288 3699 3888 4932 5832 6576 7398 9864 11097 11664 14387 14796 19728 22194 28774 29592 33291 43161 44388 57548 59184 66582 86322 88776 99873 115096 129483 133164 172644 177552 199746 230192 258966 266328 345288 388449 399492 517932 532656 690576 776898 798984 1035864 1165347 1553796 1597968 1971019 2071728 2330694 3107592 3496041 3942038 4661388 5913057 6215184 6992082 7884076 9322776 10488123 11826114 13984164 15768152 17739171 18645552 20976246 23652228 27968328 31536304 35478342 41952492 47304456 53217513 55936656 70956684 83904984 94608912 106435026 141913368 159652539 167809968 212870052 283826736 319305078 425740104 478957617 638610156 851480208 957915234 1277220312 1436872851 1915830468 2554440624 2873745702 3831660936 5747491404 7663321872 11494982808 22989965616