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968677410371 = 1110925729310729
BaseRepresentation
bin11100001100010011010…
…11000100011001000011
310102121022210110000012212
432012021223010121003
5111332322404112441
62021000530412335
7126661505063516
oct16061153043103
93377283400185
10968677410371
113438a5165790
121378a01310ab
1370465bb9738
1434c544bad7d
151a2e6988eeb
hexe189ac4643

968677410371 has 32 divisors (see below), whose sum is σ = 1074337387200. Its totient is φ = 866094612480.

The previous prime is 968677410331. The next prime is 968677410373. The reversal of 968677410371 is 173014776869.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 968677410371 - 210 = 968677409347 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 968677410371.

It is not an unprimeable number, because it can be changed into a prime (968677410373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90280535 + ... + 90291263.

It is an arithmetic number, because the mean of its divisors is an integer number (33573043350).

Almost surely, 2968677410371 is an apocalyptic number.

968677410371 is a deficient number, since it is larger than the sum of its proper divisors (105659976829).

968677410371 is a wasteful number, since it uses less digits than its factorization.

968677410371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 968677410371 in words is "nine hundred sixty-eight billion, six hundred seventy-seven million, four hundred ten thousand, three hundred seventy-one".

Divisors: 1 11 109 257 293 1199 2827 3223 10729 28013 31937 75301 118019 308143 351307 828311 1169461 2757353 3143597 8207809 12864071 30330883 34579567 90285899 300551477 342652073 807904429 3306066247 3769172803 8886948719 88061582761 968677410371