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2663089884 = 2232713853953
BaseRepresentation
bin1001111010111011…
…1000011011011100
320212121001222112200
42132232320123130
520423222334014
61120131131500
7122664614310
oct23656703334
96777058480
102663089884
111147276934
12623a43b90
13335962440
141b3985b40
15108be3a09
hex9ebb86dc

2663089884 has 144 divisors (see below), whose sum is σ = 8303585472. Its totient is φ = 700793856.

The previous prime is 2663089879. The next prime is 2663089909. The reversal of 2663089884 is 4889803662.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2663089884.

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, 2793952 + ... + 2794904.

It is an arithmetic number, because the mean of its divisors is an integer number (57663788).

Almost surely, 22663089884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663089884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151792736).

2663089884 is an abundant number, since it is smaller than the sum of its proper divisors (5640495588).

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

2663089884 is a wasteful number, since it uses less digits than its factorization.

2663089884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2663089884 is about 51605.1342794494. The cubic root of 2663089884 is about 1386.1022706466.

The spelling of 2663089884 in words is "two billion, six hundred sixty-three million, eighty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 853 953 1092 1638 1706 1906 2559 2859 3276 3412 3812 5118 5718 5971 6671 7677 8577 10236 11089 11436 11942 12389 13342 15354 17154 17913 20013 22178 23884 24778 26684 30708 33267 34308 35826 37167 40026 44356 49556 53739 60039 66534 71652 74334 77623 80052 86723 99801 107478 111501 120078 133068 148668 155246 173446 199602 214956 223002 232869 240156 260169 310492 346892 399204 446004 465738 520338 698607 780507 812909 931476 1040676 1397214 1561014 1625818 2438727 2794428 3122028 3251636 4877454 5690363 7316181 9754908 10567817 11380726 14632362 17071089 21135634 22761452 29264724 31703451 34142178 42271268 51213267 63406902 68284356 73974719 95110353 102426534 126813804 147949438 190220706 204853068 221924157 295898876 380441412 443848314 665772471 887696628 1331544942 2663089884