Search a number
-
+
58868086814460 = 2232571130713834973
BaseRepresentation
bin11010110001010010010110…
…11001110011011011111100
321201102201211012000221200200
431120221023121303123330
530203443320211030320
6325111343054323500
715254036032544550
oct1530511331633374
9251381735027620
1058868086814460
11178368a7356510
1267290431b9590
1326b031023baa1
141077332ac7860
156c1462563290
hex358a4b6736fc

58868086814460 has 288 divisors, whose sum is σ = 223353591132672. Its totient is φ = 12192484124160.

The previous prime is 58868086814419. The next prime is 58868086814489. The reversal of 58868086814460 is 6441868086885.

58868086814460 is a `hidden beast` number, since 5 + 8 + 8 + 6 + 8 + 0 + 86 + 81 + 4 + 460 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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, 2662467 + ... + 11172506.

It is an arithmetic number, because the mean of its divisors is an integer number (775533302544).

Almost surely, 258868086814460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58868086814460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111676795566336).

58868086814460 is an abundant number, since it is smaller than the sum of its proper divisors (164485504318212).

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

58868086814460 is a wasteful number, since it uses less digits than its factorization.

58868086814460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13835313 (or 13835308 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 58868086814460 in words is "fifty-eight trillion, eight hundred sixty-eight billion, eighty-six million, eight hundred fourteen thousand, four hundred sixty".