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2678793012 = 223374775391
BaseRepresentation
bin1001111110101011…
…0010001100110100
320220200121210012000
42133222302030310
520441232334022
61121451455300
7123245236110
oct23752621464
96820553160
102678793012
111155121925
12629157530
13338c9cb2c
141b5ab2740
1510a2966ac
hex9fab2334

2678793012 has 96 divisors (see below), whose sum is σ = 8106147840. Its totient is φ = 749075040.

The previous prime is 2678792981. The next prime is 2678793077. The reversal of 2678793012 is 2103978762.

2678793012 is a `hidden beast` number, since 267 + 87 + 9 + 301 + 2 = 666.

It is a super-2 number, since 2×26787930122 = 14351864002280064288, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2164 + ... + 73227.

It is an arithmetic number, because the mean of its divisors is an integer number (84439040).

Almost surely, 22678793012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678793012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053073920).

2678793012 is an abundant number, since it is smaller than the sum of its proper divisors (5427354828).

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

2678793012 is a wasteful number, since it uses less digits than its factorization.

2678793012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75458 (or 75450 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2678793012 is about 51757.0576057024. The cubic root of 2678793012 is about 1388.8213551158.

The spelling of 2678793012 in words is "two billion, six hundred seventy-eight million, seven hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3948 5076 5922 8883 11844 17766 35532 75391 150782 226173 301564 452346 527737 678519 904692 1055474 1357038 1583211 2035557 2110948 2714076 3166422 3543377 4071114 4749633 6332844 7086754 8142228 9499266 10630131 14173508 14248899 18998532 21260262 24803639 28497798 31890393 42520524 49607278 56995596 63780786 74410917 95671179 99214556 127561572 148821834 191342358 223232751 297643668 382684716 446465502 669698253 892931004 1339396506 2678793012