Search a number
-
+
212165056314 = 23211786947573
BaseRepresentation
bin1100010110011000000…
…1011101011100111010
3202021122010222120112200
43011212001131130322
511434003223300224
6241244533251030
721220435136331
oct3054601353472
9667563876480
10212165056314
1181a84709052
1235151793a76
1317012724a53
14a3a99c6d18
1557bb44a5c9
hex316605d73a

212165056314 has 12 divisors (see below), whose sum is σ = 459690955386. Its totient is φ = 70721685432.

The previous prime is 212165056291. The next prime is 212165056457. The reversal of 212165056314 is 413650561212.

212165056314 is a `hidden beast` number, since 2 + 1 + 2 + 16 + 5 + 0 + 5 + 631 + 4 = 666.

212165056314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 174542635089 + 37622421225 = 417783^2 + 193965^2 .

It is a super-2 number, since 2×2121650563142 (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 5893473769 + ... + 5893473804.

Almost surely, 2212165056314 is an apocalyptic number.

212165056314 is an abundant number, since it is smaller than the sum of its proper divisors (247525899072).

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

212165056314 is a wasteful number, since it uses less digits than its factorization.

212165056314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786947581 (or 11786947578 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 212165056314 in words is "two hundred twelve billion, one hundred sixty-five million, fifty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 11786947573 23573895146 35360842719 70721685438 106082528157 212165056314