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212901849312 = 25323412351779
BaseRepresentation
bin1100011001000111110…
…0000110100011100000
3202100112111101112112020
43012101330012203200
511442010333134222
6241450013301440
721244622601015
oct3062174064340
9670474345466
10212901849312
11823225a8589
1235318494880
13170cc277039
14a4397bb70c
155810e8965c
hex3191f068e0

212901849312 has 96 divisors (see below), whose sum is σ = 597389748480. Its totient is φ = 66226068480.

The previous prime is 212901849287. The next prime is 212901849319. The reversal of 212901849312 is 213948109212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212901849319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085362 + ... + 1266417.

It is an arithmetic number, because the mean of its divisors is an integer number (6222809880).

Almost surely, 2212901849312 is an apocalyptic number.

It is an amenable number.

212901849312 is an abundant number, since it is smaller than the sum of its proper divisors (384487899168).

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

212901849312 is a wasteful number, since it uses less digits than its factorization.

212901849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351856 (or 2351848 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 212901849312 in words is "two hundred twelve billion, nine hundred one million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 15088 22632 30176 45264 90528 2351779 4703558 7055337 9407116 14110674 18814232 28221348 37628464 54090917 56442696 75256928 96422939 108181834 112885392 162272751 192845878 216363668 225770784 289268817 324545502 385691756 432727336 578537634 649091004 771383512 865454672 1157075268 1298182008 1542767024 1730909344 2217727597 2314150536 2596364016 3085534048 4435455194 4628301072 5192728032 6653182791 8870910388 9256602144 13306365582 17741820776 26612731164 35483641552 53225462328 70967283104 106450924656 212901849312