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18533230656 = 263417332251
BaseRepresentation
bin10001010000101010…
…101010100001000000
31202211121112122222020
4101100222222201000
5300424001340111
612303011241440
71224161601303
oct212052524100
952747478866
1018533230656
117950586556
1237128a9280
13199484bc95
14c7b592b3a
157370d7906
hex450aaa840

18533230656 has 112 divisors (see below), whose sum is σ = 50921521728. Its totient is φ = 5944320000.

The previous prime is 18533230621. The next prime is 18533230669. The reversal of 18533230656 is 65603233581.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558531 + ... + 590781.

It is an arithmetic number, because the mean of its divisors is an integer number (454656444).

Almost surely, 218533230656 is an apocalyptic number.

18533230656 is a gapful number since it is divisible by the number (16) 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 18533230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25460760864).

18533230656 is an abundant number, since it is smaller than the sum of its proper divisors (32388291072).

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

18533230656 is a wasteful number, since it uses less digits than its factorization.

18533230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32380 (or 32370 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 18533230656 in words is "eighteen billion, five hundred thirty-three million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 123 146 164 192 219 246 292 328 438 492 584 656 876 984 1168 1312 1752 1968 2336 2624 2993 3504 3936 4672 5986 7008 7872 8979 11972 14016 17958 23944 32251 35916 47888 64502 71832 95776 96753 129004 143664 191552 193506 258008 287328 387012 516016 574656 774024 1032032 1322291 1548048 2064064 2354323 2644582 3096096 3966873 4708646 5289164 6192192 7062969 7933746 9417292 10578328 14125938 15867492 18834584 21156656 28251876 31734984 37669168 42313312 56503752 63469968 75338336 84626624 96527243 113007504 126939936 150676672 193054486 226015008 253879872 289581729 386108972 452030016 579163458 772217944 1158326916 1544435888 2316653832 3088871776 4633307664 6177743552 9266615328 18533230656