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968123000357 = 73193177738669
BaseRepresentation
bin11100001011010001010…
…00001010011000100101
310102112220011020001122122
432011220220022120211
5111330203442002412
62020425523435325
7126641663504012
oct16055050123045
93375804201578
10968123000357
11343640216297
12137766525b45
13703a8093b86
1434c00a00709
151a2b2e74572
hexe168a0a625

968123000357 has 16 divisors (see below), whose sum is σ = 987050512560. Its totient is φ = 949354463232.

The previous prime is 968123000333. The next prime is 968123000359. The reversal of 968123000357 is 753000321869.

It can be written as a sum of positive squares in 8 ways, for example, as 84007805281 + 884115195076 = 289841^2 + 940274^2 .

It is a cyclic number.

It is not a de Polignac number, because 968123000357 - 220 = 968121951781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968123000359) 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, 25016819 + ... + 25055487.

It is an arithmetic number, because the mean of its divisors is an integer number (61690657035).

Almost surely, 2968123000357 is an apocalyptic number.

It is an amenable number.

968123000357 is a deficient number, since it is larger than the sum of its proper divisors (18927512203).

968123000357 is a wasteful number, since it uses less digits than its factorization.

968123000357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40712.

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 968123000357 in words is "nine hundred sixty-eight billion, one hundred twenty-three million, three hundred fifty-seven", and thus it is an aban number.

Divisors: 1 73 193 1777 14089 38669 129721 342961 2822837 7463117 25036153 68714813 544807541 5016181349 13261958909 968123000357