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18206104900 = 225210321312
BaseRepresentation
bin10000111101001010…
…110001110101000100
31201222210222221210111
4100331022301311010
5244241230324100
612210324002404
71213110224014
oct207512616504
951883887714
1018206104900
1177a2965095
123641230404
131941b44549
14c49d5bc44
1571851b6ba
hex43d2b1d44

18206104900 has 81 divisors (see below), whose sum is σ = 40201400253. Its totient is φ = 7156687200.

The previous prime is 18206104897. The next prime is 18206104901. The reversal of 18206104900 is 940160281.

It is a happy number.

The square root of 18206104900 is 134930.

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., 6554197764 + 11651907136 = 80958^2 + 107944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18206104901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138977835 + ... + 138977965.

Almost surely, 218206104900 is an apocalyptic number.

18206104900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18206104900 is the 134930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18206104900

18206104900 is an abundant number, since it is smaller than the sum of its proper divisors (21995295353).

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

18206104900 is a wasteful number, since it uses less digits than its factorization.

18206104900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 18206104900 in words is "eighteen billion, two hundred six million, one hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 131 206 262 412 515 524 655 1030 1310 2060 2575 2620 3275 5150 6550 10300 10609 13100 13493 17161 21218 26986 34322 42436 53045 53972 67465 68644 85805 106090 134930 171610 212180 265225 269860 337325 343220 429025 530450 674650 858050 1060900 1349300 1389779 1716100 1767583 2779558 3535166 5559116 6948895 7070332 8837915 13897790 17675830 27795580 34744475 35351660 44189575 69488950 88379150 138977900 176758300 182061049 364122098 728244196 910305245 1820610490 3641220980 4551526225 9103052450 18206104900