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968106437776 = 242459812
BaseRepresentation
bin11100001011001111010…
…00111110110010010000
310102112212000001121001201
432011213220332302100
5111330140222002101
62020424132440544
7126641402642422
oct16054750766220
93375760047051
10968106437776
11343631933605
12137760a79154
13703a481522a
1434bdc72c812
151a2b17a1e01
hexe167a3ec90

968106437776 has 15 divisors (see below), whose sum is σ = 1875713848633. Its totient is φ = 484051251040.

The previous prime is 968106437747. The next prime is 968106437791. The reversal of 968106437776 is 677734601869.

The square root of 968106437776 is 983924.

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

968106437776 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., 892503436176 + 75603001600 = 944724^2 + 274960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3812706 + ... + 4058686.

Almost surely, 2968106437776 is an apocalyptic number.

968106437776 is the 983924-th square number.

It is an amenable number.

968106437776 is a deficient number, since it is larger than the sum of its proper divisors (907607410857).

968106437776 is an frugal number, since it uses more digits than its factorization.

968106437776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491970 (or 245983 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 64.

Multiplying 968106437776 by its sum of digits (64), we get a square (61958812017664 = 78713922).

The spelling of 968106437776 in words is "nine hundred sixty-eight billion, one hundred six million, four hundred thirty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 245981 491962 983924 1967848 3935696 60506652361 121013304722 242026609444 484053218888 968106437776