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18942227136 = 2635735367
BaseRepresentation
bin10001101001000010…
…110111001011000000
31210220010010211200000
4101221002313023000
5302243202232021
612411341400000
71240256163000
oct215102671300
953803124600
1018942227136
118040436678
123807869000
131a2b4c0431
14cb9a1a000
1575ce76b26
hex4690b72c0

18942227136 has 672 divisors, whose sum is σ = 67899686400. Its totient is φ = 5230697472.

The previous prime is 18942227119. The next prime is 18942227191. The reversal of 18942227136 is 63172224981.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 18942227091 and 18942227100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282719775 + ... + 282719841.

It is an arithmetic number, because the mean of its divisors is an integer number (101041200).

Almost surely, 218942227136 is an apocalyptic number.

18942227136 is a gapful number since it is divisible by the number (16) 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 18942227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33949843200).

18942227136 is an abundant number, since it is smaller than the sum of its proper divisors (48957459264).

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

18942227136 is an frugal number, since it uses more digits than its factorization.

18942227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 18942227136 in words is "eighteen billion, nine hundred forty-two million, two hundred twenty-seven thousand, one hundred thirty-six".