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318986985079872 = 2637172311272003
BaseRepresentation
bin100100010000111011111000…
…1111011110000010001000000
31112211102212011110010020000000
41020201313301323300101000
5313302240321140023442
63050232333053000000
7124122022566664254
oct11041676173602100
91484385143106000
10318986985079872
119270369111652a
122b939993a83000
13108cb460c26145
1458ab0a3d1a264
1526d28b4580d4c
hex1221df1ef0440

318986985079872 has 1344 divisors, whose sum is σ = 1049720322785280. Its totient is φ = 96035605585920.

The previous prime is 318986985079859. The next prime is 318986985079891. The reversal of 318986985079872 is 278970589689813.

318986985079872 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 8 + 6 + 9 + 8 + 507 + 98 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159254609623 + ... + 159254611625.

Almost surely, 2318986985079872 is an apocalyptic number.

318986985079872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318986985079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524860161392640).

318986985079872 is an abundant number, since it is smaller than the sum of its proper divisors (730733337705408).

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

318986985079872 is a wasteful number, since it uses less digits than its factorization.

318986985079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 26336378880, while the sum is 90.

The spelling of 318986985079872 in words is "three hundred eighteen trillion, nine hundred eighty-six billion, nine hundred eighty-five million, seventy-nine thousand, eight hundred seventy-two".