Search a number
-
+
94648025472 = 2737111333147
BaseRepresentation
bin101100000100101110…
…1100100000110000000
3100001022011221212101220
41120021131210012000
53022314343303342
6111251455355040
76560315641140
oct1301135440600
9301264855356
1094648025472
113715a385460
1216415522a80
138c04a86000
14481c33a920
1526de4595ec
hex1609764180

94648025472 has 1024 divisors, whose sum is σ = 357964185600. Its totient is φ = 21493555200.

The previous prime is 94648025447. The next prime is 94648025473. The reversal of 94648025472 is 27452084649.

94648025472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94648025473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2013787753 + ... + 2013787799.

It is an arithmetic number, because the mean of its divisors is an integer number (349574400).

Almost surely, 294648025472 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 94648025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178982092800).

94648025472 is an abundant number, since it is smaller than the sum of its proper divisors (263316160128).

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

94648025472 is a wasteful number, since it uses less digits than its factorization.

94648025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 94648025472 in words is "ninety-four billion, six hundred forty-eight million, twenty-five thousand, four hundred seventy-two".