Search a number
-
+
14684122368 = 28331727351
BaseRepresentation
bin11011010110011110…
…11110110100000000
31101220100202201001000
431223033132310000
5220033113403433
610425031412000
71026612660246
oct155317366400
941810681030
1014684122368
116255893523
122a19824000
13150027c306
149d42ba796
155ae21b113
hex36b3ded00

14684122368 has 216 divisors, whose sum is σ = 46134388160. Its totient is φ = 4606156800.

The previous prime is 14684122307. The next prime is 14684122381. The reversal of 14684122368 is 86322148641.

14684122368 is a `hidden beast` number, since 1 + 468 + 4 + 122 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993893 + ... + 2001243.

Almost surely, 214684122368 is an apocalyptic number.

14684122368 is a gapful number since it is divisible by the number (18) 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 14684122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23067194080).

14684122368 is an abundant number, since it is smaller than the sum of its proper divisors (31450265792).

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

14684122368 is an equidigital number, since it uses as much as digits as its factorization.

14684122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7373 counting only the distinct ones).

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

The spelling of 14684122368 in words is "fourteen billion, six hundred eighty-four million, one hundred twenty-two thousand, three hundred sixty-eight".