Search a number
-
+
27980537130 = 2345731361127
BaseRepresentation
bin11010000011110001…
…010001110100101010
32200020000022120010000
4122003301101310222
5424301004142010
620504252003430
72010245433000
oct320361216452
980200276100
1027980537130
1110959313757
12550a760576
13283bb94c60
1414d6164a70
15adb6be7c0
hex683c51d2a

27980537130 has 640 divisors, whose sum is σ = 96793804800. Its totient is φ = 5761082880.

The previous prime is 27980537113. The next prime is 27980537141. The reversal of 27980537130 is 3173508972.

It is a happy number.

27980537130 is a `hidden beast` number, since 2 + 7 + 9 + 80 + 537 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 220319127 + ... + 220319253.

It is an arithmetic number, because the mean of its divisors is an integer number (151240320).

Almost surely, 227980537130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27980537130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48396902400).

27980537130 is an abundant number, since it is smaller than the sum of its proper divisors (68813267670).

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

27980537130 is a wasteful number, since it uses less digits than its factorization.

27980537130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 27980537130 in words is "twenty-seven billion, nine hundred eighty million, five hundred thirty-seven thousand, one hundred thirty".