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212604750864 = 243311389115013
BaseRepresentation
bin1100011000000000111…
…0110000110000010000
3202022202210100101002000
43012000032300300100
511440403304011424
6241400321354000
721234354364542
oct3060016606020
9668683311060
10212604750864
118218a926080
1235254a98900
1317082853b3c
14a40c161692
1557e4d503c9
hex31803b0c10

212604750864 has 160 divisors (see below), whose sum is σ = 667449244800. Its totient is φ = 64259504640.

The previous prime is 212604750863. The next prime is 212604750877. The reversal of 212604750864 is 468057406212.

212604750864 is a `hidden beast` number, since 21 + 2 + 60 + 4 + 7 + 508 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (212604750863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791022 + ... + 1906034.

It is an arithmetic number, because the mean of its divisors is an integer number (4171557780).

Almost surely, 2212604750864 is an apocalyptic number.

212604750864 is a gapful number since it is divisible by the number (24) 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 212604750864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333724622400).

212604750864 is an abundant number, since it is smaller than the sum of its proper divisors (454844493936).

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

212604750864 is a wasteful number, since it uses less digits than its factorization.

212604750864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115430 (or 115418 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 212604750864 in words is "two hundred twelve billion, six hundred four million, seven hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 389 396 432 528 594 778 792 1167 1188 1556 1584 2334 2376 3112 3501 4279 4668 4752 6224 7002 8558 9336 10503 12837 14004 17116 18672 21006 25674 28008 34232 38511 42012 51348 56016 68464 77022 84024 102696 115013 115533 154044 168048 205392 230026 231066 308088 345039 460052 462132 616176 690078 920104 924264 1035117 1265143 1380156 1840208 1848528 2070234 2530286 2760312 3105351 3795429 4140468 5060572 5520624 6210702 7590858 8280936 10121144 11386287 12421404 15181716 16561872 20242288 22772574 24842808 30363432 34158861 44740057 45545148 49685616 60726864 68317722 89480114 91090296 134220171 136635444 178960228 182180592 268440342 273270888 357920456 402660513 492140627 536880684 546541776 715840912 805321026 984281254 1073761368 1207981539 1476421881 1610642052 1968562508 2147522736 2415963078 2952843762 3221284104 3937125016 4429265643 4831926156 5905687524 6442568208 7874250032 8858531286 9663852312 11811375048 13287796929 17717062572 19327704624 23622750096 26575593858 35434125144 53151187716 70868250288 106302375432 212604750864