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27994482360 = 23335138324023
BaseRepresentation
bin11010000100100110…
…011110011010111000
32200020222120001101000
4122010212132122320
5424313041413420
620505510525000
72010505113435
oct320446363270
980228501330
1027994482360
1110966178a39
125513366760
132841a38480
1414d7d54b8c
15adca26690
hex68499e6b8

27994482360 has 256 divisors, whose sum is σ = 101708006400. Its totient is φ = 6807642624.

The previous prime is 27994482359. The next prime is 27994482419. The reversal of 27994482360 is 6328449972.

27994482360 is a `hidden beast` number, since 2 + 79 + 94 + 482 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27994482297 and 27994482306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153309 + ... + 1177331.

It is an arithmetic number, because the mean of its divisors is an integer number (397296900).

Almost surely, 227994482360 is an apocalyptic number.

27994482360 is a gapful number since it is divisible by the number (20) 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 27994482360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50854003200).

27994482360 is an abundant number, since it is smaller than the sum of its proper divisors (73713524040).

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

27994482360 is a wasteful number, since it uses less digits than its factorization.

27994482360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24139 (or 24129 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27994482360 in words is "twenty-seven billion, nine hundred ninety-four million, four hundred eighty-two thousand, three hundred sixty".