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212148675216 = 243213122932
BaseRepresentation
bin1100010110010100001…
…0111110001010010000
3202021121000011022220100
43011211002332022100
511433440030101331
6241243150212400
721220145662122
oct3054502761220
9667530138810
10212148675216
1181a7643a755
12351481b4100
131700c20a8aa
14a3a7761212
1557b9cb1ae6
hex31650be290

212148675216 has 135 divisors (see below), whose sum is σ = 600337372297. Its totient is φ = 69936896640.

The previous prime is 212148675209. The next prime is 212148675227. The reversal of 212148675216 is 612576841212.

The square root of 212148675216 is 460596.

It is a perfect power (a square), and thus also a powerful number.

212148675216 is a `hidden beast` number, since 2 + 1 + 21 + 48 + 67 + 521 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200721920400 + 11426754816 = 448020^2 + 106896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 724056766 + ... + 724057058.

Almost surely, 2212148675216 is an apocalyptic number.

212148675216 is the 460596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212148675216

212148675216 is an abundant number, since it is smaller than the sum of its proper divisors (388188697081).

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

212148675216 is an equidigital number, since it uses as much as digits as its factorization.

212148675216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 429 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

It can be divided in two parts, 212148 and 675216, that added together give a square (887364 = 9422).

The spelling of 212148675216 in words is "two hundred twelve billion, one hundred forty-eight million, six hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 293 393 524 586 786 879 1048 1172 1179 1572 1758 2096 2344 2358 2637 3144 3516 4688 4716 5274 6288 7032 9432 10548 14064 17161 18864 21096 34322 38383 42192 51483 68644 76766 85849 102966 115149 137288 153532 154449 171698 205932 230298 257547 274576 307064 308898 343396 345447 411864 460596 515094 614128 617796 686792 690894 772641 823728 921192 1030188 1235592 1373584 1381788 1545282 1842384 2060376 2471184 2763576 3090564 4120752 5028173 5527152 6181128 10056346 11246219 12362256 15084519 20112692 22492438 30169038 33738657 40225384 44984876 45253557 60338076 67477314 80450768 89969752 90507114 101215971 120676152 134954628 179939504 181014228 202431942 241352304 269909256 362028456 404863884 539818512 724056912 809727768 1473254689 1619455536 2946509378 4419764067 5893018756 8839528134 11786037512 13259292201 17679056268 23572075024 26518584402 35358112536 53037168804 70716225072 106074337608 212148675216