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212071492864 = 2871183912823
BaseRepresentation
bin1100010110000001110…
…0100010110100000000
3202021101121221001121201
43011200130202310000
511433310300232424
6241231352030544
721215220642520
oct3054034426400
9667347831551
10212071492864
1181a36913490
1235126392454
1316cc9225b6a
14a39b3cd680
1557b3117d44
hex3160722d00

212071492864 has 144 divisors (see below), whose sum is σ = 528439080960. Its totient is φ = 82520340480.

The previous prime is 212071492817. The next prime is 212071492889. The reversal of 212071492864 is 468294170212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16531957 + ... + 16544779.

It is an arithmetic number, because the mean of its divisors is an integer number (3669715840).

Almost surely, 2212071492864 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 212071492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264219540480).

212071492864 is an abundant number, since it is smaller than the sum of its proper divisors (316367588096).

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

212071492864 is a wasteful number, since it uses less digits than its factorization.

212071492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 212071492864 in words is "two hundred twelve billion, seventy-one million, four hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 839 896 1232 1408 1678 1792 2464 2816 3356 4928 5873 6712 9229 9856 11746 12823 13424 18458 19712 23492 25646 26848 36916 46984 51292 53696 64603 73832 89761 93968 102584 107392 129206 141053 147664 179522 187936 205168 214784 258412 282106 295328 359044 375872 410336 516824 564212 590656 718088 751744 820672 987371 1033648 1128424 1181312 1436176 1503488 1641344 1974742 2067296 2256848 2362624 2872352 3282688 3949484 4134592 4513696 5744704 7898968 8269184 9027392 10758497 11489408 15797936 16538368 18054784 21516994 22978816 31595872 36109568 43033988 63191744 75309479 86067976 118343467 126383488 150618958 172135952 236686934 252766976 301237916 344271904 473373868 602475832 688543808 828404269 946747736 1204951664 1377087616 1656808538 1893495472 2409903328 2754175232 3313617076 3786990944 4819806656 6627234152 7573981888 9639613312 13254468304 15147963776 19279226624 26508936608 30295927552 53017873216 106035746432 212071492864