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967140106974 = 23317910001981
BaseRepresentation
bin11100001001011100000…
…10101110001011011110
310102110100122201220102000
432010232002232023132
5111321200331410344
62020144212543130
7126605430161436
oct16045602561336
93373318656360
10967140106974
11343186416a08
12137531321aa6
137027c566162
1434b4a2672c6
151a256a21a69
hexe12e0ae2de

967140106974 has 16 divisors (see below), whose sum is σ = 2149200237840. Its totient is φ = 322380035640.

The previous prime is 967140106931. The next prime is 967140107047. The reversal of 967140106974 is 479601041769.

967140106974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 17910001981 = 967140106974 / (9 + 6 + 7 + 1 + 4 + 0 + 1 + 0 + 6 + 9 + 7 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 967140106974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8955000937 + ... + 8955001044.

It is an arithmetic number, because the mean of its divisors is an integer number (134325014865).

Almost surely, 2967140106974 is an apocalyptic number.

967140106974 is an abundant number, since it is smaller than the sum of its proper divisors (1182060130866).

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

967140106974 is a wasteful number, since it uses less digits than its factorization.

967140106974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17910001992 (or 17910001986 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 967140106974 in words is "nine hundred sixty-seven billion, one hundred forty million, one hundred six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 17910001981 35820003962 53730005943 107460011886 161190017829 322380035658 483570053487 967140106974