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7145435829 = 372232937213
BaseRepresentation
bin1101010011110011…
…01011001010110101
3200102222101202020110
412221321223022311
5104113212421304
63141011253233
7342033126300
oct65171531265
920388352213
107145435829
113037459774
121474baa219
1389b49754c
144badb7b37
152bc496289
hex1a9e6b2b5

7145435829 has 48 divisors (see below), whose sum is σ = 11605652352. Its totient is φ = 3891710592.

The previous prime is 7145435827. The next prime is 7145435851. The reversal of 7145435829 is 9285345417.

It is not a de Polignac number, because 7145435829 - 21 = 7145435827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145435827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987027 + ... + 994239.

It is an arithmetic number, because the mean of its divisors is an integer number (241784424).

Almost surely, 27145435829 is an apocalyptic number.

It is an amenable number.

7145435829 is a deficient number, since it is larger than the sum of its proper divisors (4460216523).

7145435829 is a wasteful number, since it uses less digits than its factorization.

7145435829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7539 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 7145435829 is about 84530.6798091675. The cubic root of 7145435829 is about 1926.0885127470.

The spelling of 7145435829 in words is "seven billion, one hundred forty-five million, four hundred thirty-five thousand, eight hundred twenty-nine".

Divisors: 1 3 7 21 23 49 69 147 161 293 483 879 1127 2051 3381 6153 6739 7213 14357 20217 21639 43071 47173 50491 141519 151473 165899 330211 353437 497697 990633 1060311 1161293 2113409 3483879 6340227 8129051 14793863 24387153 44381589 48608407 103557041 145825221 310671123 340258849 1020776547 2381811943 7145435829