Search a number
-
+
58978121280 = 26351329891831
BaseRepresentation
bin110110111011010111…
…101011011001000000
312122020021201222200020
4312323113223121000
51431241344340110
643032201453440
74155350521311
oct667327533100
9178207658606
1058978121280
11230156804a1
12b51b7a1280
13573bb2c720
142bd6c8c608
151802b9dd70
hexdbb5eb640

58978121280 has 448 divisors, whose sum is σ = 211072780800. Its totient is φ = 13852016640.

The previous prime is 58978121261. The next prime is 58978121281. The reversal of 58978121280 is 8212187985.

It is not an unprimeable number, because it can be changed into a prime (58978121281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32209965 + ... + 32211795.

It is an arithmetic number, because the mean of its divisors is an integer number (471144600).

Almost surely, 258978121280 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 58978121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105536390400).

58978121280 is an abundant number, since it is smaller than the sum of its proper divisors (152094659520).

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

58978121280 is a wasteful number, since it uses less digits than its factorization.

58978121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 58978121280 in words is "fifty-eight billion, nine hundred seventy-eight million, one hundred twenty-one thousand, two hundred eighty".