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319948070868 = 223210938131241
BaseRepresentation
bin1001010011111100110…
…01000001111111010100
31010120211201202000121200
410221332121001333110
520220223201231433
6402552045312500
732054416505346
oct4517631017724
91116751660550
10319948070868
11113764388188
1252011b65730
132422b82403a
14116b258b296
1584c8abd613
hex4a7e641fd4

319948070868 has 36 divisors (see below), whose sum is σ = 809497666068. Its totient is φ = 106551768960.

The previous prime is 319948070867. The next prime is 319948070879. The reversal of 319948070868 is 868070849913.

319948070868 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 480 + 70 + 86 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250748559504 + 69199511364 = 500748^2 + 263058^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319948070863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4026273 + ... + 4104968.

Almost surely, 2319948070868 is an apocalyptic number.

It is an amenable number.

319948070868 is an abundant number, since it is smaller than the sum of its proper divisors (489549595200).

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

319948070868 is a wasteful number, since it uses less digits than its factorization.

319948070868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132344 (or 8132339 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 319948070868 in words is "three hundred nineteen billion, nine hundred forty-eight million, seventy thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1093 2186 3279 4372 6558 9837 13116 19674 39348 8131241 16262482 24393723 32524964 48787446 73181169 97574892 146362338 292724676 8887446413 17774892826 26662339239 35549785652 53324678478 79987017717 106649356956 159974035434 319948070868