Search a number
-
+
13795345278 = 233112133312
BaseRepresentation
bin11001101100100010…
…00100001101111110
31022121102101011002000
430312101010031332
5211223102022103
610200522043130
7665601333351
oct146621041576
938542334060
1013795345278
11593a127100
1228100494a6
1313bb0b5000
1494c242298
1555b1a9aa3
hex33644437e

13795345278 has 288 divisors, whose sum is σ = 37718906400. Its totient is φ = 3734359200.

The previous prime is 13795345241. The next prime is 13795345279. The reversal of 13795345278 is 87254359731.

13795345278 is a `hidden beast` number, since 1 + 3 + 79 + 53 + 452 + 78 = 666.

13795345278 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (6350400) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13795345279) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 445011123 + ... + 445011153.

It is an arithmetic number, because the mean of its divisors is an integer number (130968425).

Almost surely, 213795345278 is an apocalyptic number.

13795345278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13795345278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859453200).

13795345278 is an abundant number, since it is smaller than the sum of its proper divisors (23923561122).

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

13795345278 is a wasteful number, since it uses less digits than its factorization.

13795345278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 13795345278 in words is "thirteen billion, seven hundred ninety-five million, three hundred forty-five thousand, two hundred seventy-eight".