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318893987268 = 223213709646157
BaseRepresentation
bin1001010001111111001…
…00000001010111000100
31010111010021022000202100
410220333210001113010
520211043330043033
6402255312512100
732016330111333
oct4507744012704
91114107260670
10318893987268
1111327338460a
1251978b4b630
13240c132bb2c
14116125a1d1a
1584662a7513
hex4a3f9015c4

318893987268 has 36 divisors (see below), whose sum is σ = 806153182380. Its totient is φ = 106290077376.

The previous prime is 318893987231. The next prime is 318893987303. The reversal of 318893987268 is 862789398813.

318893987268 is a `hidden beast` number, since 31 + 8 + 89 + 398 + 72 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 174750753024 + 144143234244 = 418032^2 + 379662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3188939872682 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 318893987196 and 318893987205.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 170446 + ... + 816602.

It is an arithmetic number, because the mean of its divisors is an integer number (22393143955).

Almost surely, 2318893987268 is an apocalyptic number.

It is an amenable number.

318893987268 is an abundant number, since it is smaller than the sum of its proper divisors (487259195112).

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

318893987268 is a wasteful number, since it uses less digits than its factorization.

318893987268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659876 (or 659871 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 318893987268 in words is "three hundred eighteen billion, eight hundred ninety-three million, nine hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13709 27418 41127 54836 82254 123381 164508 246762 493524 646157 1292314 1938471 2584628 3876942 5815413 7753884 11630826 23261652 8858166313 17716332626 26574498939 35432665252 53148997878 79723496817 106297995756 159446993634 318893987268