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7680243769 = 1123122572
BaseRepresentation
bin1110010011100011…
…10011100000111001
3201211020201210210221
413021301303200321
5111212120300034
63310034140041
7361215665152
oct71161634071
921736653727
107680243769
11329132a900
1215a4121621
13955218b53
1452c030929
152ee3d7bb4
hex1c9c73839

7680243769 has 27 divisors (see below), whose sum is σ = 8757099183. Its totient is φ = 6730521600.

The previous prime is 7680243763. The next prime is 7680243811. The reversal of 7680243769 is 9673420867.

The square root of 7680243769 is 87637.

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., 7561172025 + 119071744 = 86955^2 + 10912^2 .

It is not a de Polignac number, because 7680243769 - 221 = 7678146617 is a prime.

It is a super-3 number, since 3×76802437693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7680243763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29884089 + ... + 29884345.

Almost surely, 27680243769 is an apocalyptic number.

7680243769 is the 87637-th square number.

7680243769 is the 43819-th centered octagonal number.

It is an amenable number.

7680243769 is a deficient number, since it is larger than the sum of its proper divisors (1076855414).

7680243769 is an equidigital number, since it uses as much as digits as its factorization.

7680243769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The cubic root of 7680243769 is about 1972.9905337592.

The spelling of 7680243769 in words is "seven billion, six hundred eighty million, two hundred forty-three thousand, seven hundred sixty-nine".

Divisors: 1 11 31 121 257 341 961 2827 3751 7967 10571 31097 66049 87637 116281 246977 726539 964007 2047519 2716747 7991929 22522709 29884217 63473089 247749799 698203979 7680243769