Search a number
-
+
94605041664 = 21333732943
BaseRepresentation
bin101100000011011100…
…1100110000000000000
3100001012012002001201000
41120012321212000000
53022222342313124
6111243322212000
76556254405000
oct1300671460000
9301165061630
1094605041664
1137138097051
1216403054000
138bc8bb62c3
14481674c000
1526da7b86c9
hex1606e66000

94605041664 has 896 divisors, whose sum is σ = 346008960000. Its totient is φ = 25491013632.

The previous prime is 94605041651. The next prime is 94605041683. The reversal of 94605041664 is 46614050649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×946050416642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2200117227 + ... + 2200117269.

Almost surely, 294605041664 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 94605041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173004480000).

94605041664 is an abundant number, since it is smaller than the sum of its proper divisors (251403918336).

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

94605041664 is an equidigital number, since it uses as much as digits as its factorization.

94605041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 94605041664 in words is "ninety-four billion, six hundred five million, forty-one thousand, six hundred sixty-four".