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18538717000 = 2353157118081
BaseRepresentation
bin10001010000111111…
…100101111101001000
31202211222212101211011
4101100333211331020
5300431402421000
612303325013304
71224256331416
oct212077457510
952758771734
1018538717000
117953693521
1237146b4234
131995a2023b
14c7c1c02b6
1573781d2ba
hex450fe5f48

18538717000 has 64 divisors (see below), whose sum is σ = 43657277040. Its totient is φ = 7368192000.

The previous prime is 18538716983. The next prime is 18538717013. The reversal of 18538717000 is 71783581.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71537764 + 18467179236 = 8458^2 + 135894^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97960 + ... + 216040.

Almost surely, 218538717000 is an apocalyptic number.

18538717000 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 18538717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21828638520).

18538717000 is an abundant number, since it is smaller than the sum of its proper divisors (25118560040).

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

18538717000 is a wasteful number, since it uses less digits than its factorization.

18538717000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118259 (or 118245 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 18538717000 in words is "eighteen billion, five hundred thirty-eight million, seven hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 3140 3925 6280 7850 15700 19625 31400 39250 78500 118081 157000 236162 472324 590405 944648 1180810 2361620 2952025 4723240 5904050 11808100 14760125 18538717 23616200 29520250 37077434 59040500 74154868 92693585 118081000 148309736 185387170 370774340 463467925 741548680 926935850 1853871700 2317339625 3707743400 4634679250 9269358500 18538717000