Search a number
-
+
27479178342 = 23372114123027
BaseRepresentation
bin11001100101111000…
…101111110001100110
32121221001220220011000
4121211320233301212
5422234132201332
620342422054130
71661650106400
oct314570576146
977831826130
1027479178342
1110721309450
1253aa87a346
13278c055555
141489737b70
15aac688b7c
hex665e2fc66

27479178342 has 192 divisors, whose sum is σ = 79385806080. Its totient is φ = 6963062400.

The previous prime is 27479178329. The next prime is 27479178359. The reversal of 27479178342 is 24387197472.

It is a super-3 number, since 3×274791783423 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

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, 1181833 + ... + 1204859.

It is an arithmetic number, because the mean of its divisors is an integer number (413467740).

Almost surely, 227479178342 is an apocalyptic number.

27479178342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27479178342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39692903040).

27479178342 is an abundant number, since it is smaller than the sum of its proper divisors (51906627738).

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

27479178342 is a wasteful number, since it uses less digits than its factorization.

27479178342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23104 (or 23091 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 27479178342 in words is "twenty-seven billion, four hundred seventy-nine million, one hundred seventy-eight thousand, three hundred forty-two".