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2665650042 = 2321173311593
BaseRepresentation
bin1001111011100010…
…1001011101111010
320212202220001102100
42132320221131322
520424401300132
61120302044230
7123025436316
oct23670513572
96782801370
102665650042
111148765370
12624879676
1333634a823
141b4050b46
1510904c37c
hex9ee2977a

2665650042 has 96 divisors (see below), whose sum is σ = 6418279296. Its totient is φ = 792806400.

The previous prime is 2665650017. The next prime is 2665650047. The reversal of 2665650042 is 2400565662.

2665650042 is a `hidden beast` number, since 2 + 66 + 56 + 500 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2665649979 and 2665650006.

It is not an unprimeable number, because it can be changed into a prime (2665650047) by changing a digit.

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, 4494898 + ... + 4495490.

It is an arithmetic number, because the mean of its divisors is an integer number (66857076).

Almost surely, 22665650042 is an apocalyptic number.

2665650042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2665650042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209139648).

2665650042 is an abundant number, since it is smaller than the sum of its proper divisors (3752629254).

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

2665650042 is a wasteful number, since it uses less digits than its factorization.

2665650042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2665650042 is about 51629.9335850822. The cubic root of 2665650042 is about 1386.5463042590.

The spelling of 2665650042 in words is "two billion, six hundred sixty-five million, six hundred fifty thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 311 438 593 622 657 803 933 1186 1314 1606 1779 1866 2409 2799 3421 3558 4818 5337 5598 6523 6842 7227 10263 10674 13046 14454 19569 20526 22703 30789 39138 43289 45406 58707 61578 68109 86578 117414 129867 136218 184423 204327 249733 259734 368846 389601 408654 476179 499466 553269 749199 779202 952358 1106538 1428537 1498398 1659807 2028653 2247597 2857074 3319614 4057306 4285611 4495194 6085959 8571222 12171918 13462879 18257877 26925758 36515754 40388637 80777274 121165911 148091669 242331822 296183338 444275007 888550014 1332825021 2665650042