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18098320900 = 225211212232
BaseRepresentation
bin10000110110101111…
…100111011000000100
31201201022011221221111
4100312233213120010
5244031132232100
612151513454404
71210331121652
oct206657473004
951638157844
1018098320900
117748037400
123611111404
131925706a2a
14c39901dd2
1570dd2a6ba
hex436be7604

18098320900 has 81 divisors (see below), whose sum is σ = 43203560533. Its totient is φ = 6575826400.

The previous prime is 18098320883. The next prime is 18098320907. The reversal of 18098320900 is 902389081.

The square root of 18098320900 is 134530.

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., 6515395524 + 11582925376 = 80718^2 + 107624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18098320907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14797689 + ... + 14798911.

Almost surely, 218098320900 is an apocalyptic number.

18098320900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18098320900 is the 134530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18098320900

18098320900 is an abundant number, since it is smaller than the sum of its proper divisors (25105239633).

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

18098320900 is a wasteful number, since it uses less digits than its factorization.

18098320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 18098320900 in words is "eighteen billion, ninety-eight million, three hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1223 2420 2446 3025 4892 6050 6115 12100 12230 13453 24460 26906 30575 53812 61150 67265 122300 134530 147983 269060 295966 336325 591932 672650 739915 1345300 1479830 1495729 2959660 2991458 3699575 5982916 7399150 7478645 14798300 14957290 16453019 29914580 32906038 37393225 65812076 74786450 82265095 149572900 164530190 180983209 329060380 361966418 411325475 723932836 822650950 904916045 1645301900 1809832090 3619664180 4524580225 9049160450 18098320900