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18132266240 = 28511329367
BaseRepresentation
bin10000111000110001…
…000110110100000000
31201210200001120012022
4100320301012310000
5244113330004430
612155125221012
71211222501654
oct207061066400
951720046168
1018132266240
117765212000
123620561768
13192c76072a
14c4021aa64
15711cd34e5
hex438c46d00

18132266240 has 288 divisors, whose sum is σ = 49554408960. Its totient is φ = 6348840960.

The previous prime is 18132266233. The next prime is 18132266261. The reversal of 18132266240 is 4266223181.

It is a self number, because there is not a number n which added to its sum of digits gives 18132266240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49406537 + ... + 49406903.

It is an arithmetic number, because the mean of its divisors is an integer number (172063920).

Almost surely, 218132266240 is an apocalyptic number.

18132266240 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 18132266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24777204480).

18132266240 is an abundant number, since it is smaller than the sum of its proper divisors (31422142720).

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

18132266240 is an equidigital number, since it uses as much as digits as its factorization.

18132266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 18132266240 in words is "eighteen billion, one hundred thirty-two million, two hundred sixty-six thousand, two hundred forty".