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18910820000 = 25542294129
BaseRepresentation
bin10001100111001011…
…000011011010100000
31210210221001012011202
4101213023003122200
5302212132220000
612404300300332
71236425214002
oct214713033240
953727035152
1018910820000
118024734a66
1237b92416a8
131a24b44b27
14cb57a2372
1575a320dd5
hex4672c36a0

18910820000 has 120 divisors (see below), whose sum is σ = 46737929700. Its totient is φ = 7529472000.

The previous prime is 18910819997. The next prime is 18910820011. The reversal of 18910820000 is 2801981.

It can be written as a sum of positive squares in 10 ways, for example, as 169744 + 18910650256 = 412^2 + 137516^2 .

It is a super-2 number, since 2×189108200002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4577936 + ... + 4582064.

Almost surely, 218910820000 is an apocalyptic number.

18910820000 is a gapful number since it is divisible by the number (10) 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 18910820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23368964850).

18910820000 is an abundant number, since it is smaller than the sum of its proper divisors (27827109700).

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

18910820000 is an equidigital number, since it uses as much as digits as its factorization.

18910820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 18910820000 in words is "eighteen billion, nine hundred ten million, eight hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3664 4000 4129 4580 5000 5725 7328 8258 9160 10000 11450 16516 18320 20000 20645 22900 28625 33032 36640 41290 45800 57250 66064 82580 91600 103225 114500 132128 143125 165160 183200 206450 229000 286250 330320 412900 458000 516125 572500 660640 825800 916000 945541 1032250 1145000 1651600 1891082 2064500 2290000 2580625 3303200 3782164 4129000 4580000 4727705 5161250 7564328 8258000 9455410 10322500 15128656 16516000 18910820 20645000 23638525 30257312 37821640 41290000 47277050 75643280 82580000 94554100 118192625 151286560 189108200 236385250 378216400 472770500 590963125 756432800 945541000 1181926250 1891082000 2363852500 3782164000 4727705000 9455410000 18910820000