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18383860440 = 23345112341547
BaseRepresentation
bin10001000111110000…
…110111001011011000
31202110012110212120000
4101013300313023120
5300122232013230
612240113533000
71220366143521
oct210760671330
952405425500
1018383860440
1178842344a0
123690874160
13196c91093a
14c657cd848
15728e2eb60
hex447c372d8

18383860440 has 640 divisors, whose sum is σ = 72185541120. Its totient is φ = 4151347200.

The previous prime is 18383860433. The next prime is 18383860447. The reversal of 18383860440 is 4406838381.

18383860440 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 38 + 604 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18383860433) and next prime (18383860447).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18383860447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33608247 + ... + 33608793.

It is an arithmetic number, because the mean of its divisors is an integer number (112789908).

Almost surely, 218383860440 is an apocalyptic number.

18383860440 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 18383860440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36092770560).

18383860440 is an abundant number, since it is smaller than the sum of its proper divisors (53801680680).

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

18383860440 is a wasteful number, since it uses less digits than its factorization.

18383860440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18383860440 in words is "eighteen billion, three hundred eighty-three million, eight hundred sixty thousand, four hundred forty".