Search a number
-
+
2544260166 = 233741181907
BaseRepresentation
bin1001011110100110…
…0101010001000110
320120022110210211000
42113221211101012
520202312311131
61100244154130
7120022566060
oct22751452106
96508423730
102544260166
111096194358
125b0098946
133171580b6
141a1c92730
15ed56ece6
hex97a65446

2544260166 has 128 divisors (see below), whose sum is σ = 6663121920. Its totient is φ = 704505600.

The previous prime is 2544260153. The next prime is 2544260183. The reversal of 2544260166 is 6610624452.

2544260166 is a `hidden beast` number, since 2 + 5 + 4 + 42 + 601 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2544260166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2804685 + ... + 2805591.

It is an arithmetic number, because the mean of its divisors is an integer number (52055640).

Almost surely, 22544260166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544260166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331560960).

2544260166 is an abundant number, since it is smaller than the sum of its proper divisors (4118861754).

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

2544260166 is a wasteful number, since it uses less digits than its factorization.

2544260166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

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

The square root of 2544260166 is about 50440.6598489750. The cubic root of 2544260166 is about 1365.1713732426.

The spelling of 2544260166 in words is "two billion, five hundred forty-four million, two hundred sixty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 181 189 246 287 362 369 378 543 574 738 861 907 1086 1107 1267 1629 1722 1814 2214 2534 2583 2721 3258 3801 4887 5166 5442 6349 7421 7602 7749 8163 9774 11403 12698 14842 15498 16326 19047 22263 22806 24489 34209 37187 38094 44526 48978 51947 57141 66789 68418 74374 103894 111561 114282 133578 155841 164167 171423 200367 223122 260309 311682 328334 334683 342846 400734 467523 492501 520618 669366 780927 935046 985002 1004049 1149169 1402569 1477503 1561854 2008098 2298338 2342781 2805138 2955006 3447507 4432509 4685562 6730847 6895014 7028343 8865018 10342521 13461694 14056686 20192541 20685042 31027563 40385082 47115929 60577623 62055126 94231858 121155246 141347787 181732869 282695574 363465738 424043361 848086722 1272130083 2544260166