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10164467729 = 13781882133
BaseRepresentation
bin10010111011101100…
…10111100000010001
3222020101020110102202
421131312113200101
5131304100431404
64400335452545
7506612356463
oct113566274021
928211213382
1010164467729
114346639059
121b78087155
13c5cab3660
146c5d36133
153e754921e
hex25dd97811

10164467729 has 4 divisors (see below), whose sum is σ = 10946349876. Its totient is φ = 9382585584.

The previous prime is 10164467689. The next prime is 10164467813. The reversal of 10164467729 is 92776446101.

10164467729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4076567104 + 6087900625 = 63848^2 + 78025^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164467729 - 28 = 10164467473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10164467029) 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 3 ways as a sum of consecutive naturals, for example, 390941054 + ... + 390941079.

It is an arithmetic number, because the mean of its divisors is an integer number (2736587469).

Almost surely, 210164467729 is an apocalyptic number.

It is an amenable number.

10164467729 is a deficient number, since it is larger than the sum of its proper divisors (781882147).

10164467729 is an equidigital number, since it uses as much as digits as its factorization.

10164467729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781882146.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 10164467729 in words is "ten billion, one hundred sixty-four million, four hundred sixty-seven thousand, seven hundred twenty-nine".

Divisors: 1 13 781882133 10164467729