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18131500000 = 255636263
BaseRepresentation
bin10000111000101110…
…001011101111100000
31201210121121122010001
4100320232023233200
5244113131000000
612155100545344
71211213131015
oct207056135740
951717548101
1018131500000
117764839349
123620252254
13192c552a33
14c4009b70c
15711bd146a
hex438b8bbe0

18131500000 has 84 divisors (see below), whose sum is σ = 44621147592. Its totient is φ = 7252400000.

The previous prime is 18131499983. The next prime is 18131500021. The reversal of 18131500000 is 513181.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 481869 + ... + 518131.

It is an arithmetic number, because the mean of its divisors is an integer number (531204138).

Almost surely, 218131500000 is an apocalyptic number.

18131500000 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 18131500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22310573796).

18131500000 is an abundant number, since it is smaller than the sum of its proper divisors (26489647592).

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

18131500000 is an frugal number, since it uses more digits than its factorization.

18131500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36303 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 18131500000 in words is "eighteen billion, one hundred thirty-one million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 36263 50000 62500 72526 100000 125000 145052 181315 250000 290104 362630 500000 580208 725260 906575 1160416 1450520 1813150 2901040 3626300 4532875 5802080 7252600 9065750 14505200 18131500 22664375 29010400 36263000 45328750 72526000 90657500 113321875 145052000 181315000 226643750 362630000 453287500 566609375 725260000 906575000 1133218750 1813150000 2266437500 3626300000 4532875000 9065750000 18131500000