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4200704729 = 13243975653
BaseRepresentation
bin1111101001100001…
…1010101011011001
3101211202100220120122
43322120122223121
532100340022404
61532455403025
7206045254364
oct37230325331
911752326518
104200704729
111866208701
12992983475
1351c394700
142bbc7b0db
15198bbd3be
hexfa61aad9

4200704729 has 12 divisors (see below), whose sum is σ = 4550531436. Its totient is φ = 3876005952.

The previous prime is 4200704719. The next prime is 4200704771. The reversal of 4200704729 is 9274070024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 256864729 + 3943840000 = 16027^2 + 62800^2 .

It is not a de Polignac number, because 4200704729 - 24 = 4200704713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4200704719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740267 + ... + 745919.

It is an arithmetic number, because the mean of its divisors is an integer number (379210953).

Almost surely, 24200704729 is an apocalyptic number.

It is an amenable number.

4200704729 is a deficient number, since it is larger than the sum of its proper divisors (349826707).

4200704729 is a wasteful number, since it uses less digits than its factorization.

4200704729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 4200704729 is about 64812.8438582971. The cubic root of 4200704729 is about 1613.5188814505.

The spelling of 4200704729 in words is "four billion, two hundred million, seven hundred four thousand, seven hundred twenty-nine".

Divisors: 1 13 169 4397 5653 57161 73489 743093 955357 24856241 323131133 4200704729