Search a number
-
+
6772441149 = 32192313712569
BaseRepresentation
bin1100100111010101…
…10100000000111101
3122110222112122201200
412103222310000331
5102332221104044
63040004530113
7326553541245
oct62352640075
918428478650
106772441149
112965959301
1213900b0939
1383c11cb36
14483642b25
15299869369
hex193ab403d

6772441149 has 48 divisors (see below), whose sum is σ = 10824278400. Its totient is φ = 4061173248.

The previous prime is 6772441139. The next prime is 6772441153. The reversal of 6772441149 is 9411442776.

6772441149 is a `hidden beast` number, since 67 + 7 + 2 + 441 + 149 = 666.

It is not a de Polignac number, because 6772441149 - 28 = 6772440893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772441139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532537 + ... + 545105.

It is an arithmetic number, because the mean of its divisors is an integer number (225505800).

Almost surely, 26772441149 is an apocalyptic number.

6772441149 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

6772441149 is a deficient number, since it is larger than the sum of its proper divisors (4051837251).

6772441149 is a wasteful number, since it uses less digits than its factorization.

6772441149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754 (or 12751 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 6772441149 is about 82294.8427849522. The cubic root of 6772441149 is about 1891.9736341227.

The spelling of 6772441149 in words is "six billion, seven hundred seventy-two million, four hundred forty-one thousand, one hundred forty-nine".

Divisors: 1 3 9 19 23 57 69 137 171 207 411 437 1233 1311 2603 3151 3933 7809 9453 12569 23427 28359 37707 59869 113121 179607 238811 289087 538821 716433 867261 1721953 2149299 2601783 5165859 5492653 15497577 16477959 32717107 39604919 49433877 98151321 118814757 294453963 356444271 752493461 2257480383 6772441149