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18086590512 = 2432439730113
BaseRepresentation
bin10000110110000010…
…110111100000110000
31201200111002222212200
4100312002313200300
5244020131344022
612150414223200
71210126324404
oct206602674060
951614088780
1018086590512
117741455171
1236091b4b00
13192315a683
14c3812b104
1570ccaebac
hex4360b7830

18086590512 has 120 divisors (see below), whose sum is σ = 52330181904. Its totient is φ = 5827756032.

The previous prime is 18086590471. The next prime is 18086590541. The reversal of 18086590512 is 21509568081.

It is a happy number.

18086590512 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 6 + 590 + 51 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585568 + ... + 615680.

Almost surely, 218086590512 is an apocalyptic number.

18086590512 is a gapful number since it is divisible by the number (12) 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 18086590512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165090952).

18086590512 is an abundant number, since it is smaller than the sum of its proper divisors (34243591392).

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

18086590512 is a wasteful number, since it uses less digits than its factorization.

18086590512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30267 (or 30258 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 18086590512 in words is "eighteen billion, eighty-six million, five hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 97 129 144 172 194 258 291 344 387 388 516 582 688 774 776 873 1032 1164 1548 1552 1746 2064 2328 3096 3492 4171 4656 6192 6984 8342 12513 13968 16684 25026 30113 33368 37539 50052 60226 66736 75078 90339 100104 120452 150156 180678 200208 240904 271017 300312 361356 481808 542034 600624 722712 1084068 1294859 1445424 2168136 2589718 2920961 3884577 4336272 5179436 5841922 7769154 8762883 10358872 11653731 11683844 15538308 17525766 20717744 23307462 23367688 26288649 31076616 35051532 46614924 46735376 52577298 62153232 70103064 93229848 105154596 125601323 140206128 186459696 210309192 251202646 376803969 420618384 502405292 753607938 1004810584 1130411907 1507215876 2009621168 2260823814 3014431752 4521647628 6028863504 9043295256 18086590512