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2122286827428 = 2232371818802809
BaseRepresentation
bin11110111000100010001…
…001110000011110100100
321111212222211002022221200
4132320202021300132210
5234232420411434203
64302544244042500
7306221150246565
oct36704211603644
97455884068850
102122286827428
1174906964a229
122a3391693430
13125191460c61
1474a0d7d616c
153a313b019a3
hex1ee222707a4

2122286827428 has 72 divisors (see below), whose sum is σ = 5540101290360. Its totient is φ = 684506350080.

The previous prime is 2122286827379. The next prime is 2122286827439. The reversal of 2122286827428 is 8247286822212.

2122286827428 is a `hidden beast` number, since 212 + 2 + 286 + 82 + 74 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685266084864 + 1437020742564 = 827808^2 + 1198758^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4160313 + ... + 4642496.

It is an arithmetic number, because the mean of its divisors is an integer number (76945851255).

Almost surely, 22122286827428 is an apocalyptic number.

It is an amenable number.

2122286827428 is an abundant number, since it is smaller than the sum of its proper divisors (3417814462932).

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

2122286827428 is a wasteful number, since it uses less digits than its factorization.

2122286827428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803037 (or 8803032 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 2122286827428 in words is "two trillion, one hundred twenty-two billion, two hundred eighty-six million, eight hundred twenty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 181 222 333 362 444 543 666 724 1086 1332 1629 2172 3258 6516 6697 13394 20091 26788 40182 60273 80364 120546 241092 8802809 17605618 26408427 35211236 52816854 79225281 105633708 158450562 316901124 325703933 651407866 977111799 1302815732 1593308429 1954223598 2931335397 3186616858 3908447196 4779925287 5862670794 6373233716 9559850574 11725341588 14339775861 19119701148 28679551722 57359103444 58952411873 117904823746 176857235619 235809647492 353714471238 530571706857 707428942476 1061143413714 2122286827428