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12278845068 = 22371710937867
BaseRepresentation
bin10110110111110000…
…00100111010001100
31011200201210221212120
423123320010322030
5200121341020233
65350230132540
7613165314060
oct133370047214
934621727776
1012278845068
1152310a7046
1224681b1150
131208b665c9
14846a85aa0
154bcea14b3
hex2dbe04e8c

12278845068 has 96 divisors (see below), whose sum is σ = 34705810944. Its totient is φ = 3298434048.

The previous prime is 12278845037. The next prime is 12278845069. The reversal of 12278845068 is 86054887221.

12278845068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12278845068.

It is not an unprimeable number, because it can be changed into a prime (12278845069) by changing a digit.

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, 1556871 + ... + 1564737.

It is an arithmetic number, because the mean of its divisors is an integer number (361518864).

Almost surely, 212278845068 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 12278845068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352905472).

12278845068 is an abundant number, since it is smaller than the sum of its proper divisors (22426965876).

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

12278845068 is a wasteful number, since it uses less digits than its factorization.

12278845068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 12278845068 in words is "twelve billion, two hundred seventy-eight million, eight hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1093 1428 2186 3279 4372 6558 7651 7867 13116 15302 15734 18581 22953 23601 30604 31468 37162 45906 47202 55069 55743 74324 91812 94404 110138 111486 130067 133739 165207 220276 222972 260134 267478 330414 390201 401217 520268 534956 660828 780402 802434 936173 1560804 1604868 1872346 2808519 3744692 5617038 8598631 11234076 17197262 25795893 34394524 51591786 60190417 103183572 120380834 146176727 180571251 240761668 292353454 361142502 438530181 584706908 722285004 877060362 1023237089 1754120724 2046474178 3069711267 4092948356 6139422534 12278845068