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18328344992 = 256157716273
BaseRepresentation
bin10001000100011101…
…000101100110100000
31202022100000101200022
4101010131011212200
5300014024014432
612230412013012
71216123235066
oct210435054640
952270011608
1018328344992
117855966961
123676161168
131961273c69
14c5c29c036
15724115b12
hex4447459a0

18328344992 has 48 divisors (see below), whose sum is σ = 36741289032. Its totient is φ = 8997765120.

The previous prime is 18328344977. The next prime is 18328345001. The reversal of 18328344992 is 29944382381.

It can be written as a sum of positive squares in 4 ways, for example, as 18290939536 + 37405456 = 135244^2 + 6116^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1118168 + ... + 1134440.

Almost surely, 218328344992 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 18328344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370644516).

18328344992 is an abundant number, since it is smaller than the sum of its proper divisors (18412944040).

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

18328344992 is a wasteful number, since it uses less digits than its factorization.

18328344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16921 (or 16913 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 53.

The spelling of 18328344992 in words is "eighteen billion, three hundred twenty-eight million, three hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 577 976 1154 1952 2308 4616 9232 16273 18464 32546 35197 65092 70394 130184 140788 260368 281576 520736 563152 992653 1126304 1985306 3970612 7941224 9389521 15882448 18779042 31764896 37558084 75116168 150232336 300464672 572760781 1145521562 2291043124 4582086248 9164172496 18328344992