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18009690336 = 253511219141
BaseRepresentation
bin10000110001011101…
…100001000011100000
31201111010102001200000
4100301131201003200
5243340440042321
612135030100000
71205203561551
oct206135410340
951433361600
1018009690336
117702000a00
1235a74aa600
131910244201
14c2bc30328
1570616e826
hex4317610e0

18009690336 has 216 divisors, whose sum is σ = 58382257752. Its totient is φ = 5457196800.

The previous prime is 18009690331. The next prime is 18009690427. The reversal of 18009690336 is 63309690081.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×180096903362 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18009690291 and 18009690300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18009690331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931326 + ... + 950466.

Almost surely, 218009690336 is an apocalyptic number.

18009690336 is a gapful number since it is divisible by the number (16) 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 18009690336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191128876).

18009690336 is an abundant number, since it is smaller than the sum of its proper divisors (40372567416).

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

18009690336 is a wasteful number, since it uses less digits than its factorization.

18009690336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188 (or 19157 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 18009690336 in words is "eighteen billion, nine million, six hundred ninety thousand, three hundred thirty-six".