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2442061566 = 232759893691
BaseRepresentation
bin1001000110001110…
…1110011011111110
320022012011120200200
42101203232123332
520000131432231
61042153504330
7114342116010
oct22143563376
96265146620
102442061566
111043530aaa
12581a120a6
132cbc24959
1419248c1b0
15e45d3be6
hex918ee6fe

2442061566 has 96 divisors (see below), whose sum is σ = 6220281600. Its totient is φ = 678015360.

The previous prime is 2442061519. The next prime is 2442061591. The reversal of 2442061566 is 6651602442.

It is a self number, because there is not a number n which added to its sum of digits gives 2442061566.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 659781 + ... + 663471.

It is an arithmetic number, because the mean of its divisors is an integer number (64794600).

Almost surely, 22442061566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442061566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110140800).

2442061566 is an abundant number, since it is smaller than the sum of its proper divisors (3778220034).

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

2442061566 is a wasteful number, since it uses less digits than its factorization.

2442061566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2442061566 is about 49417.2193268703. The cubic root of 2442061566 is about 1346.6421471235.

The spelling of 2442061566 in words is "two billion, four hundred forty-two million, sixty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 89 118 126 177 178 267 354 413 531 534 623 801 826 1062 1239 1246 1602 1869 2478 3691 3717 3738 5251 5607 7382 7434 10502 11073 11214 15753 22146 25837 31506 33219 36757 47259 51674 66438 73514 77511 94518 110271 155022 217769 220542 232533 328499 330813 435538 465066 653307 656998 661626 985497 1306614 1524383 1959921 1970994 2299493 2956491 3048766 3919842 4573149 4598986 5912982 6898479 9146298 13719447 13796958 19381441 20695437 27438894 38762882 41390874 58144323 116288646 135670087 174432969 271340174 348865938 407010261 814020522 1221030783 2442061566