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2166251454216 = 233235385231801
BaseRepresentation
bin11111100001011110101…
…001011111111100001000
321200002110210021202222100
4133201132221133330020
5240442440333013331
64335055010353400
7312335505356223
oct37413651377410
97602423252870
102166251454216
1176577a521033
122aba0128b860
131293799cb315
1476bc074a5ba
153b5386c2ae6
hex1f85ea5ff08

2166251454216 has 48 divisors (see below), whose sum is σ = 5883551292060. Its totient is φ = 720038246400.

The previous prime is 2166251454187. The next prime is 2166251454223. The reversal of 2166251454216 is 6124541526612.

2166251454216 is a `hidden beast` number, since 2 + 1 + 6 + 62 + 514 + 54 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1914498391716 + 251753062500 = 1383654^2 + 501750^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42590485 + ... + 42641316.

Almost surely, 22166251454216 is an apocalyptic number.

It is an amenable number.

2166251454216 is an abundant number, since it is smaller than the sum of its proper divisors (3717299837844).

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

2166251454216 is a wasteful number, since it uses less digits than its factorization.

2166251454216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85232166 (or 85232159 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 2166251454216 in words is "two trillion, one hundred sixty-six billion, two hundred fifty-one million, four hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 25416 85231801 170463602 255695403 340927204 511390806 681854408 767086209 1022781612 1534172418 2045563224 3068344836 6136689672 30086825753 60173651506 90260477259 120347303012 180520954518 240694606024 270781431777 361041909036 541562863554 722083818072 1083125727108 2166251454216