Search a number
-
+
8080817680 = 245137770017
BaseRepresentation
bin1111000011010011…
…10111111000010000
3202212011111001220201
413201221313320100
5113022142131210
63413503544544
7404151550135
oct74151677020
922764431821
108080817680
113477457a21
1216962bb154
139ba1cb730
1456930458c
1532466153a
hex1e1a77e10

8080817680 has 40 divisors (see below), whose sum is σ = 20233126872. Its totient is φ = 2983686144.

The previous prime is 8080817671. The next prime is 8080817683. The reversal of 8080817680 is 867180808.

It can be written as a sum of positive squares in 4 ways, for example, as 1163901456 + 6916916224 = 34116^2 + 83168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×80808176802 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) 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 8080817680.

It is not an unprimeable number, because it can be changed into a prime (8080817683) 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 7 ways as a sum of consecutive naturals, for example, 3883969 + ... + 3886048.

Almost surely, 28080817680 is an apocalyptic number.

8080817680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8080817680 is an abundant number, since it is smaller than the sum of its proper divisors (12152309192).

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

8080817680 is a wasteful number, since it uses less digits than its factorization.

8080817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770043 (or 7770037 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 46.

The square root of 8080817680 is about 89893.3683872175. The cubic root of 8080817680 is about 2006.7122542865.

The spelling of 8080817680 in words is "eight billion, eighty million, eight hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 7770017 15540034 31080068 38850085 62160136 77700170 101010221 124320272 155400340 202020442 310800680 404040884 505051105 621601360 808081768 1010102210 1616163536 2020204420 4040408840 8080817680