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967248113 = 13677914057
BaseRepresentation
bin111001101001110…
…000100011110001
32111102001021222012
4321221300203301
53440103414423
6235551252305
732653321226
oct7151604361
92442037865
10967248113
11456a93907
1222bb1a095
13125510780
149266394d
1559db2078
hex39a708f1

967248113 has 16 divisors (see below), whose sum is σ = 1070657280. Its totient is φ = 868323456.

The previous prime is 967248103. The next prime is 967248131. The reversal of 967248113 is 311842769.

967248113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 967248113 - 222 = 963053809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (967248103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61781 + ... + 75837.

It is an arithmetic number, because the mean of its divisors is an integer number (66916080).

Almost surely, 2967248113 is an apocalyptic number.

It is an amenable number.

967248113 is a deficient number, since it is larger than the sum of its proper divisors (103409167).

967248113 is a wasteful number, since it uses less digits than its factorization.

967248113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14216.

The product of its digits is 72576, while the sum is 41.

The square root of 967248113 is about 31100.6127431599. The cubic root of 967248113 is about 988.9612997970.

The spelling of 967248113 in words is "nine hundred sixty-seven million, two hundred forty-eight thousand, one hundred thirteen".

Divisors: 1 13 67 79 871 1027 5293 14057 68809 182741 941819 1110503 12243647 14436539 74403701 967248113