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8212321716 = 223171012111889
BaseRepresentation
bin1111010010111111…
…00001010110110100
3210012022221011112120
413221133201112310
5113304323243331
63434522315540
7410336403624
oct75137412664
923168834476
108212321716
113534706945
121712358bb0
13a0b522981
1457c976884
15330e8a796
hex1e97e15b4

8212321716 has 96 divisors (see below), whose sum is σ = 20598157440. Its totient is φ = 2537472000.

The previous prime is 8212321657. The next prime is 8212321727. The reversal of 8212321716 is 6171232128.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4346500 + ... + 4348388.

It is an arithmetic number, because the mean of its divisors is an integer number (214564140).

Almost surely, 28212321716 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 8212321716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299078720).

8212321716 is an abundant number, since it is smaller than the sum of its proper divisors (12385835724).

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

8212321716 is a wasteful number, since it uses less digits than its factorization.

8212321716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2223 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 8212321716 is about 90621.8611373657. The cubic root of 8212321716 is about 2017.5392146838.

The spelling of 8212321716 in words is "eight billion, two hundred twelve million, three hundred twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 211 303 404 422 606 633 844 1212 1266 1717 1889 2532 3434 3587 3778 5151 5667 6868 7174 7556 10302 10761 11334 14348 20604 21311 21522 22668 32113 42622 43044 63933 64226 85244 96339 127866 128452 190789 192678 255732 362287 381578 385356 398579 572367 724574 763156 797158 1086861 1144734 1195737 1449148 1594316 2173722 2289468 2391474 3243413 4347444 4782948 6486826 6775843 9730239 12973652 13551686 19460478 20327529 27103372 38920956 40256479 40655058 80512958 81310116 120769437 161025916 241538874 483077748 684360143 1368720286 2053080429 2737440572 4106160858 8212321716