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18365213328 = 2437311234409
BaseRepresentation
bin10001000110101001…
…101110101010010000
31202101220101111112020
4101012221232222100
5300102443311303
612234210131440
71220051511000
oct210651565220
952356344466
1018365213328
117874758660
123686580b80
131968ab2247
14c63138000
15727499a53
hex446a6ea90

18365213328 has 320 divisors, whose sum is σ = 62995968000. Its totient is φ = 4561751040.

The previous prime is 18365213299. The next prime is 18365213341. The reversal of 18365213328 is 82331256381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 18365213328.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4163188 + ... + 4167596.

It is an arithmetic number, because the mean of its divisors is an integer number (196862400).

Almost surely, 218365213328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18365213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984000).

18365213328 is an abundant number, since it is smaller than the sum of its proper divisors (44630754672).

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

18365213328 is a wasteful number, since it uses less digits than its factorization.

18365213328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4455 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 18365213328 in words is "eighteen billion, three hundred sixty-five million, two hundred thirteen thousand, three hundred twenty-eight".