Search a number
-
+
6729827041 = 73151129937
BaseRepresentation
bin1100100010010000…
…10000001011100001
3122101000100122011101
412101020100023201
5102240313431131
63031443314401
7325525405000
oct62110201341
918330318141
106729827041
1129438a2733
12137997ba01
1383334c4a2
1447bb0cc37
15295c4cc61
hex1912102e1

6729827041 has 16 divisors (see below), whose sum is σ = 7900230400. Its totient is φ = 5730177600.

The previous prime is 6729827017. The next prime is 6729827047. The reversal of 6729827041 is 1407289276.

It is not a de Polignac number, because 6729827041 - 219 = 6729302753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6729826982 and 6729827000.

It is not an unprimeable number, because it can be changed into a prime (6729827047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13176 + ... + 116761.

It is an arithmetic number, because the mean of its divisors is an integer number (493764400).

Almost surely, 26729827041 is an apocalyptic number.

It is an amenable number.

6729827041 is a deficient number, since it is larger than the sum of its proper divisors (1170403359).

6729827041 is a wasteful number, since it uses less digits than its factorization.

6729827041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130109 (or 130095 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 6729827041 is about 82035.5230433743. The cubic root of 6729827041 is about 1887.9970046612.

The spelling of 6729827041 in words is "six billion, seven hundred twenty-nine million, eight hundred twenty-seven thousand, forty-one".

Divisors: 1 7 49 151 343 1057 7399 51793 129937 909559 6366913 19620487 44568391 137343409 961403863 6729827041