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212021348610568 = 23761941601110973
BaseRepresentation
bin110000001101010100010001…
…001010110011001000001000
31000210201001011022212221112011
4300031110101022303020020
5210242224210221014233
62030533132442225304
762442015445454260
oct6015242112631010
91023631138787464
10212021348610568
11616138269a6262
121b9431a87b5234
13913c6b18811c3
143a4dc60a607a0
15197a26631e0cd
hexc0d5112b3208

212021348610568 has 128 divisors (see below), whose sum is σ = 462389289834240. Its totient is φ = 89258712192000.

The previous prime is 212021348610551. The next prime is 212021348610581. The reversal of 212021348610568 is 865016843120212.

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, 19322089530 + ... + 19322100502.

It is an arithmetic number, because the mean of its divisors is an integer number (3612416326830).

Almost surely, 2212021348610568 is an apocalyptic number.

212021348610568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021348610568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231194644917120).

212021348610568 is an abundant number, since it is smaller than the sum of its proper divisors (250367941223672).

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

212021348610568 is a wasteful number, since it uses less digits than its factorization.

212021348610568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17995 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 212021348610568 in words is "two hundred twelve trillion, twenty-one billion, three hundred forty-eight million, six hundred ten thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 941 1708 1882 3416 3764 6011 6587 7528 10973 12022 13174 21946 24044 26348 42077 43892 48088 52696 57401 76811 84154 87784 114802 153622 168308 229604 307244 336616 366671 401807 459208 614488 669353 733342 803614 1338706 1466684 1607228 2566697 2677412 2933368 3214456 4685471 5133394 5354824 5656351 9370942 10266788 10325593 11312702 18741884 20533576 20651186 22625404 37483768 39594457 41302372 45250808 65958703 72279151 79188914 82604744 131917406 144558302 158377828 263834812 289116604 316755656 345037411 461710921 527669624 578233208 629861173 690074822 923421842 1259722346 1380149644 1846843684 2415261877 2519444692 2760299288 3693687368 4023480883 4409028211 4830523754 5038889384 8046961766 8818056422 9661047508 16093923532 17636112844 19322095016 28164366181 32187847064 35272225688 56328732362 62067139523 112657464724 124134279046 225314929448 248268558092 434469976661 496537116184 868939953322 1737879906644 3475759813288 3786095510903 7572191021806 15144382043612 26502668576321 30288764087224 53005337152642 106010674305284 212021348610568