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2068971282 = 233753611693
BaseRepresentation
bin111101101010001…
…1111111100010010
312100012010122001000
41323110133330102
513214124040112
6541145122430
7102161652150
oct17324377422
95305118030
102068971282
11971975824
12498a89416
1326c845881
14158ad03d0
15c19887dc
hex7b51ff12

2068971282 has 128 divisors (see below), whose sum is σ = 5444651520. Its totient is φ = 570136320.

The previous prime is 2068971271. The next prime is 2068971283. The reversal of 2068971282 is 2821798602.

It is not an unprimeable number, because it can be changed into a prime (2068971283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221228 + ... + 1222920.

It is an arithmetic number, because the mean of its divisors is an integer number (42536340).

Almost surely, 22068971282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068971282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722325760).

2068971282 is an abundant number, since it is smaller than the sum of its proper divisors (3375680238).

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

2068971282 is a wasteful number, since it uses less digits than its factorization.

2068971282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2068971282 is about 45485.9459833474. The cubic root of 2068971282 is about 1274.2407438042.

The spelling of 2068971282 in words is "two billion, sixty-eight million, nine hundred seventy-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 61 63 106 122 126 159 183 189 318 366 371 378 427 477 549 742 854 954 1098 1113 1281 1431 1647 1693 2226 2562 2862 3233 3294 3339 3386 3843 5079 6466 6678 7686 9699 10017 10158 11529 11851 15237 19398 20034 22631 23058 23702 29097 30474 35553 45262 45711 58194 67893 71106 87291 89729 91422 103273 106659 135786 174582 179458 203679 206546 213318 269187 309819 319977 407358 538374 611037 619638 628103 639954 722911 807561 929457 1222074 1256206 1445822 1615122 1858914 1884309 2168733 2422683 2788371 3768618 4337466 4845366 5473469 5576742 5652927 6506199 10946938 11305854 13012398 16420407 16958781 19518597 32840814 33917562 38314283 39037194 49261221 76628566 98522442 114942849 147783663 229885698 295567326 344828547 689657094 1034485641 2068971282