Search a number
-
+
968244142950 = 2325272194371757
BaseRepresentation
bin11100001011011111101…
…10010010001101100110
310102120012121011202001100
432011233312102031212
5111330431000033300
62020445532140530
7126644664264300
oct16055766221546
93376177152040
10968244142950
113436a2638537
1213779b007746
13703c71cab96
1434c12b36970
151a2bd903700
hexe16fd92366

968244142950 has 864 divisors, whose sum is σ = 3309676381440. Its totient is φ = 201637900800.

The previous prime is 968244142933. The next prime is 968244142951. The reversal of 968244142950 is 59241442869.

968244142950 is a `hidden beast` number, since 96 + 82 + 4 + 4 + 1 + 429 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968244142951) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1279053972 + ... + 1279054728.

It is an arithmetic number, because the mean of its divisors is an integer number (3830643960).

Almost surely, 2968244142950 is an apocalyptic number.

968244142950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968244142950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654838190720).

968244142950 is an abundant number, since it is smaller than the sum of its proper divisors (2341432238490).

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

968244142950 is a wasteful number, since it uses less digits than its factorization.

968244142950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 968244142950 in words is "nine hundred sixty-eight billion, two hundred forty-four million, one hundred forty-two thousand, nine hundred fifty".