Search a number
-
+
62482001296 = 24112132192232
BaseRepresentation
bin111010001100001101…
…111010110110010000
312222021110220112110011
4322030031322312100
52010430343020141
644412010044304
74341235151041
oct721415726620
9188243815404
1062482001296
1124553508400
1210139119694
135b79a27100
14304a37a8c8
15195a5c5881
hexe8c37ad90

62482001296 has 405 divisors, whose sum is σ = 158969764737. Its totient is φ = 23756578560.

The previous prime is 62482001293. The next prime is 62482001317. The reversal of 62482001296 is 69210028426.

The square root of 62482001296 is 249964.

It is a perfect power (a square), and thus also a powerful number.

62482001296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9242899600 + 53239101696 = 96140^2 + 230736^2 .

It is not an unprimeable number, because it can be changed into a prime (62482001293) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2716608741 + ... + 2716608763.

Almost surely, 262482001296 is an apocalyptic number.

62482001296 is the 249964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62482001296

62482001296 is an abundant number, since it is smaller than the sum of its proper divisors (96487763441).

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

62482001296 is a wasteful number, since it uses less digits than its factorization.

62482001296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 62482001296 in words is "sixty-two billion, four hundred eighty-two million, one thousand, two hundred ninety-six".