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18067842862020 = 22345724359731229
BaseRepresentation
bin1000001101110101111110…
…10110110000101111000100
32100222021021000221010120000
410012322333112300233010
54332010420233041040
6102232130305041300
73543233663232300
oct406727726605704
970867230833500
1018067842862020
1158365902a4666
122039804026230
13a10a372c1b03
144666b9b02d00
15214ebce17130
hex106ebf5b0bc4

18067842862020 has 1440 divisors, whose sum is σ = 69606576547200. Its totient is φ = 3907879686144.

The previous prime is 18067842861973. The next prime is 18067842862021. The reversal of 18067842862020 is 2026824876081.

18067842862020 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 7 + 8 + 4 + 2 + 8 + 620 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18067842862021) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14701254766 + ... + 14701255994.

It is an arithmetic number, because the mean of its divisors is an integer number (48337900380).

Almost surely, 218067842862020 is an apocalyptic number.

18067842862020 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 18067842862020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34803288273600).

18067842862020 is an abundant number, since it is smaller than the sum of its proper divisors (51538733685180).

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

18067842862020 is a wasteful number, since it uses less digits than its factorization.

18067842862020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 18067842862020 in words is "eighteen trillion, sixty-seven billion, eight hundred forty-two million, eight hundred sixty-two thousand, twenty".