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212085716868 = 223217246743651
BaseRepresentation
bin1100010110000101001…
…0110011011110000100
3202021102121200201021200
43011201102303132010
511433322420414433
6241233020542500
721215452564104
oct3054122633604
9667377621250
10212085716868
1181a43949163
123512b0b1a30
1316ccc16622c
14a39d253204
1557b44c7613
hex31614b3784

212085716868 has 108 divisors (see below), whose sum is σ = 570728772432. Its totient is φ = 66392697600.

The previous prime is 212085716809. The next prime is 212085716879. The reversal of 212085716868 is 868617580212.

212085716868 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 8 + 571 + 6 + 8 + 68 = 666.

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 35 ways as a sum of consecutive naturals, for example, 4836843 + ... + 4880493.

Almost surely, 2212085716868 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 212085716868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285364386216).

212085716868 is an abundant number, since it is smaller than the sum of its proper divisors (358643055564).

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

212085716868 is a wasteful number, since it uses less digits than its factorization.

212085716868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44162 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 212085716868 in words is "two hundred twelve billion, eighty-five million, seven hundred sixteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 467 578 612 867 934 1156 1401 1734 1868 2601 2802 3468 4203 5202 5604 7939 8406 10404 15878 16812 23817 31756 43651 47634 71451 87302 95268 130953 134963 142902 174604 261906 269926 285804 392859 404889 523812 539852 742067 785718 809778 1214667 1484134 1571436 1619556 2226201 2429334 2968268 4452402 4858668 6678603 8904804 12615139 13357206 20385017 25230278 26714412 37845417 40770034 50460556 61155051 75690834 81540068 113536251 122310102 151381668 183465153 227072502 244620204 346545289 366930306 454145004 693090578 733860612 1039635867 1386181156 2079271734 3118907601 4158543468 5891269913 6237815202 11782539826 12475630404 17673809739 23565079652 35347619478 53021429217 70695238956 106042858434 212085716868