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249999999066 = 232179712017013
BaseRepresentation
bin1110100011010100101…
…0010100000001011010
3212220021221002210211200
43220311022110001122
513043444444432231
6310503131335030
724030142634016
oct3506512240132
9786257083750
10249999999066
119702a533584
12405505b1476
131a76208b63c
14c158811546
156782d18be6
hex3a3529405a

249999999066 has 96 divisors (see below), whose sum is σ = 580007243088. Its totient is φ = 77547110400.

The previous prime is 249999999061. The next prime is 249999999077. The reversal of 249999999066 is 660999999942.

It can be written as a sum of positive squares in 8 ways, for example, as 109584171225 + 140415827841 = 331035^2 + 374721^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (249999999061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35644576 + ... + 35651588.

Almost surely, 2249999999066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249999999066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290003621544).

249999999066 is an abundant number, since it is smaller than the sum of its proper divisors (330007244022).

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

249999999066 is a wasteful number, since it uses less digits than its factorization.

249999999066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336 (or 8333 counting only the distinct ones).

The product of its (nonzero) digits is 1377495072, while the sum is 81.

The spelling of 249999999066 in words is "two hundred forty-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 873 1201 1649 1746 2402 3298 3603 4947 7013 7206 9894 10809 14026 14841 20417 21039 21618 29682 40834 42078 61251 63117 116497 119221 122502 126234 183753 232994 238442 349491 357663 367506 680261 698982 715326 1048473 1072989 1360522 1980449 2040783 2096946 2145978 3960898 4081566 5941347 6122349 8422613 11564437 11882694 12244698 16845226 17824041 23128874 25267839 34693311 35648082 50535678 69386622 75803517 104079933 143184421 151607034 208159866 286368842 429553263 816993461 859106526 1288659789 1633986922 2450980383 2577319578 4901960766 7352941149 13888888837 14705882298 27777777674 41666666511 83333333022 124999999533 249999999066