Search a number
-
+
3007082000836 = 22672129412
BaseRepresentation
bin101011110000100100000…
…011011111000111000100
3101122110210201022012020101
4223300210003133013010
5343232000443011321
610221233455213444
7430153203161614
oct53604403370704
911573721265211
103007082000836
11a5a329438831
12406961817284
1318a749b16b44
14a57876baa44
155334b359791
hex2bc240df1c4

3007082000836 has 27 divisors (see below), whose sum is σ = 5342521811277. Its totient is φ = 1480985639760.

The previous prime is 3007082000809. The next prime is 3007082000953. The reversal of 3007082000836 is 6380002807003.

The square root of 3007082000836 is 1734094.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2276193794436 + 730888206400 = 1508706^2 + 854920^2 .

It is a super-2 number, since 2×30070820008362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3007082000795 and 3007082000804.

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 8 ways as a sum of consecutive naturals, for example, 232362126 + ... + 232375066.

Almost surely, 23007082000836 is an apocalyptic number.

3007082000836 is the 1734094-th square number.

It is an amenable number.

3007082000836 is a deficient number, since it is larger than the sum of its proper divisors (2335439810441).

3007082000836 is an frugal number, since it uses more digits than its factorization.

3007082000836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26020 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 3007082000836 its reverse (6380002807003), we get a palindrome (9387084807839).

The spelling of 3007082000836 in words is "three trillion, seven billion, eighty-two million, eight hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 67 134 268 4489 8978 12941 17956 25882 51764 867047 1734094 3468188 58092149 116184298 167469481 232368596 334938962 669877924 11220455227 22440910454 44881820908 751770500209 1503541000418 3007082000836