Search a number
-
+
18386122653696 = 214371719165443
BaseRepresentation
bin1000010111000110110100…
…10011110100000000000000
32102002200210111111210100110
410023203122103310000000
54402214234344404241
6103034245041351320
73605232154642140
oct413433223640000
972080714453313
1018386122653696
115949568a04a06
12208b42b338540
13a34a5b2c48a5
14477c708a4920
1521d3ea2ea816
hex10b8da4f4000

18386122653696 has 480 divisors, whose sum is σ = 62451112872960. Its totient is φ = 4683919785984.

The previous prime is 18386122653659. The next prime is 18386122653719. The reversal of 18386122653696 is 69635622168381.

It is a super-2 number, since 2×183861226536962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111049951 + ... + 111215393.

It is an arithmetic number, because the mean of its divisors is an integer number (130106485152).

Almost surely, 218386122653696 is an apocalyptic number.

18386122653696 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 18386122653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31225556436480).

18386122653696 is an abundant number, since it is smaller than the sum of its proper divisors (44064990219264).

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

18386122653696 is a wasteful number, since it uses less digits than its factorization.

18386122653696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165517 (or 165491 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 66.

The spelling of 18386122653696 in words is "eighteen trillion, three hundred eighty-six billion, one hundred twenty-two million, six hundred fifty-three thousand, six hundred ninety-six".