Search a number
-
+
104320656320946 = 231331617910938191
BaseRepresentation
bin10111101110000100001011…
…101010011010100110110010
3111200100221211220110002021220
4113232010023222122212302
5102133142201004232241
61005512125314325510
730654630053666052
oct2756041352324662
9450327756402256
10104320656320946
113027016194a76a
12b84a060889896
13462951b402ca0
141ba920a7c3562
15c0d9465ea166
hex5ee10ba9a9b2

104320656320946 has 256 divisors, whose sum is σ = 238972651438080. Its totient is φ = 30135950208000.

The previous prime is 104320656320929. The next prime is 104320656321047. The reversal of 104320656320946 is 649023656023401.

104320656320946 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12736005711 + ... + 12736013901.

It is an arithmetic number, because the mean of its divisors is an integer number (933486919680).

Almost surely, 2104320656320946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104320656320946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119486325719040).

104320656320946 is an abundant number, since it is smaller than the sum of its proper divisors (134651995117134).

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

104320656320946 is a wasteful number, since it uses less digits than its factorization.

104320656320946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9473.

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 104320656320946 in words is "one hundred four trillion, three hundred twenty billion, six hundred fifty-six million, three hundred twenty thousand, nine hundred forty-six".