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18422089984 = 281724992
BaseRepresentation
bin10001001010000010…
…101100100100000000
31202112212102010122001
4101022002230210000
5300212023334414
612244001153344
71221342116104
oct211202544400
952485363561
1018422089984
1178a3875961
1236a162b854
13197780767c
14c6a901904
1572c482074
hex44a0ac900

18422089984 has 81 divisors (see below), whose sum is σ = 39140968377. Its totient is φ = 8651845632.

The previous prime is 18422089979. The next prime is 18422089993. The reversal of 18422089984 is 48998022481.

The square root of 18422089984 is 135728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14342457600 + 4079632384 = 119760^2 + 63872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36917767 + ... + 36918265.

Almost surely, 218422089984 is an apocalyptic number.

18422089984 is the 135728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18422089984

18422089984 is an abundant number, since it is smaller than the sum of its proper divisors (20718878393).

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

18422089984 is an frugal number, since it uses more digits than its factorization.

18422089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 18422089984 in words is "eighteen billion, four hundred twenty-two million, eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 499 544 578 998 1088 1156 1996 2176 2312 3992 4352 4624 7984 8483 9248 15968 16966 18496 31936 33932 36992 63872 67864 73984 127744 135728 144211 249001 271456 288422 498002 542912 576844 996004 1085824 1153688 1992008 2171648 2307376 3984016 4233017 4614752 7968032 8466034 9229504 15936064 16932068 18459008 31872128 33864136 36918016 63744256 67728272 71961289 135456544 143922578 270913088 287845156 541826176 575690312 1083652352 1151380624 2302761248 4605522496 9211044992 18422089984