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18436984020 = 22335731321931
BaseRepresentation
bin10001001010111011…
…100000110011010100
31202120220102211102000
4101022323200303110
5300224331442040
612245252315300
71221612531000
oct211273406324
952526384360
1018436984020
117901218a84
1236a6612b30
13197a920a00
14c6c89b700
1572d925130
hex44aee0cd4

18436984020 has 1152 divisors, whose sum is σ = 78704640000. Its totient is φ = 3566384640.

The previous prime is 18436984009. The next prime is 18436984021. The reversal of 18436984020 is 2048963481.

It is a happy number.

18436984020 is a `hidden beast` number, since 184 + 3 + 69 + 8 + 402 + 0 = 666.

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 (18436984021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 594741405 + ... + 594741435.

It is an arithmetic number, because the mean of its divisors is an integer number (68320000).

Almost surely, 218436984020 is an apocalyptic number.

18436984020 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 18436984020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352320000).

18436984020 is an abundant number, since it is smaller than the sum of its proper divisors (60267655980).

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

18436984020 is a wasteful number, since it uses less digits than its factorization.

18436984020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18436984020 in words is "eighteen billion, four hundred thirty-six million, nine hundred eighty-four thousand, twenty".