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4432113829 = 1113139222977
BaseRepresentation
bin1000010000010110…
…01011000010100101
3102102212210201012001
410020023023002211
533034110120304
62011443325301
7214555226443
oct41013130245
912385721161
104432113829
1119748a37a0
12a38380831
135582c8180
143008b7b93
151ae17dda4
hex1082cb0a5

4432113829 has 16 divisors (see below), whose sum is σ = 5244442560. Its totient is φ = 3692482560.

The previous prime is 4432113821. The next prime is 4432113863. The reversal of 4432113829 is 9283112344.

4432113829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4432113829 - 23 = 4432113821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432113821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91612 + ... + 131365.

It is an arithmetic number, because the mean of its divisors is an integer number (327777660).

Almost surely, 24432113829 is an apocalyptic number.

It is an amenable number.

4432113829 is a deficient number, since it is larger than the sum of its proper divisors (812328731).

4432113829 is a wasteful number, since it uses less digits than its factorization.

4432113829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223140.

The product of its digits is 41472, while the sum is 37.

The square root of 4432113829 is about 66574.1228181040. The cubic root of 4432113829 is about 1642.6194789325.

The spelling of 4432113829 in words is "four billion, four hundred thirty-two million, one hundred thirteen thousand, eight hundred twenty-nine".

Divisors: 1 11 13 139 143 1529 1807 19877 222977 2452747 2898701 30993803 31885711 340931833 402919439 4432113829