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18326215440 = 24335133137569
BaseRepresentation
bin10001000100010100…
…111101101100010000
31202022012000012111000
4101010110331230100
5300013002343230
612230254222000
71216066155351
oct210424755420
952265005430
1018326215440
1178547419a5
1236754b4900
1319609a9880
14c5bca5d28
15723d44b60
hex44453db10

18326215440 has 640 divisors, whose sum is σ = 72195379200. Its totient is φ = 4240097280.

The previous prime is 18326215433. The next prime is 18326215489. The reversal of 18326215440 is 4451262381.

It is a happy number.

18326215440 is a `hidden beast` number, since 183 + 26 + 2 + 15 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18326215395 and 18326215404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32207476 + ... + 32208044.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 218326215440 is an apocalyptic number.

18326215440 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 18326215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36097689600).

18326215440 is an abundant number, since it is smaller than the sum of its proper divisors (53869163760).

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

18326215440 is a wasteful number, since it uses less digits than its factorization.

18326215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18326215440 in words is "eighteen billion, three hundred twenty-six million, two hundred fifteen thousand, four hundred forty".