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4189066729 = 59210972
BaseRepresentation
bin1111100110110000…
…0001010111101001
3101210221110122020121
43321230001113221
532034400113404
61531402123241
7205544323351
oct37154012751
911727418217
104189066729
11185a689921
1298aab0521
13519b4b413
142ba4cbb61
15197b6ee54
hexf9b015e9

4189066729 has 9 divisors (see below), whose sum is σ = 4265159287. Its totient is φ = 4114311664.

The previous prime is 4189066723. The next prime is 4189066741. The reversal of 4189066729 is 9276609814.

It is a happy number.

The square root of 4189066729 is 64723.

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., 1191285225 + 2997781504 = 34515^2 + 54752^2 .

It is not a de Polignac number, because 4189066729 - 27 = 4189066601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4189066723) 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 8 ways as a sum of consecutive naturals, for example, 3818109 + ... + 3819205.

Almost surely, 24189066729 is an apocalyptic number.

4189066729 is the 64723-rd square number.

4189066729 is the 32362-nd centered octagonal number.

It is an amenable number.

4189066729 is a deficient number, since it is larger than the sum of its proper divisors (76092558).

4189066729 is an frugal number, since it uses more digits than its factorization.

4189066729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The cubic root of 4189066729 is about 1612.0274252764.

The spelling of 4189066729 in words is "four billion, one hundred eighty-nine million, sixty-six thousand, seven hundred twenty-nine".

Divisors: 1 59 1097 3481 64723 1203409 3818657 71001131 4189066729