Search a number
-
+
6689984880 = 243527874937
BaseRepresentation
bin1100011101100000…
…10001000101110000
3122021020101102222210
412032300101011300
5102200114004010
63023501332120
7324532635045
oct61660210560
918236342883
106689984880
11292335a727
121368567040
1382800c747
144766db1cc
152924ccb20
hex18ec11170

6689984880 has 40 divisors (see below), whose sum is σ = 20738953872. Its totient is φ = 1783995904.

The previous prime is 6689984879. The next prime is 6689984893. The reversal of 6689984880 is 884899866.

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

It is a super-2 number, since 2×66899848802 = 89511795389257228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13937229 + ... + 13937708.

Almost surely, 26689984880 is an apocalyptic number.

6689984880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6689984880 is an abundant number, since it is smaller than the sum of its proper divisors (14048968992).

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

6689984880 is a wasteful number, since it uses less digits than its factorization.

6689984880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27874953 (or 27874947 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The square root of 6689984880 is about 81792.3277575593. The cubic root of 6689984880 is about 1884.2638322192.

The spelling of 6689984880 in words is "six billion, six hundred eighty-nine million, nine hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 27874937 55749874 83624811 111499748 139374685 167249622 222999496 278749370 334499244 418124055 445998992 557498740 668998488 836248110 1114997480 1337996976 1672496220 2229994960 3344992440 6689984880