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4129725765 = 3511217133843
BaseRepresentation
bin1111011000100110…
…1001110101000101
3101122210210210202010
43312021221311011
531424202211030
61521442204433
7204224042544
oct36611516505
911583723663
104129725765
11182a139100
12973053719
1350a772419
142b268215b
1519284c6b0
hexf6269d45

4129725765 has 48 divisors (see below), whose sum is σ = 7690140864. Its totient is φ = 1884495360.

The previous prime is 4129725763. The next prime is 4129725793. The reversal of 4129725765 is 5675279214.

4129725765 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 4129725765 - 21 = 4129725763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129725763) 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 47 ways as a sum of consecutive naturals, for example, 36067 + ... + 97776.

It is an arithmetic number, because the mean of its divisors is an integer number (160211268).

Almost surely, 24129725765 is an apocalyptic number.

It is an amenable number.

4129725765 is a deficient number, since it is larger than the sum of its proper divisors (3560415099).

4129725765 is a wasteful number, since it uses less digits than its factorization.

4129725765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133890 (or 133879 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 4129725765 is about 64262.9423929530. The cubic root of 4129725765 is about 1604.3793778705.

The spelling of 4129725765 in words is "four billion, one hundred twenty-nine million, seven hundred twenty-five thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 121 165 187 255 363 561 605 935 1815 2057 2805 6171 10285 30855 133843 401529 669215 1472273 2007645 2275331 4416819 6825993 7361365 11376655 16195003 22084095 25028641 34129965 48585009 75085923 80975015 125143205 242925045 275315051 375429615 825945153 1376575255 4129725765