Search a number
-
+
10029281729 = 29973565333
BaseRepresentation
bin10010101011100101…
…01011000111000001
3221212221212022002212
421111302223013001
5131014444003404
64335110151505
7503351326265
oct112562530701
927787768085
1010029281729
1142872a4895
121b3a952595
13c3aaa053c
146b1dc60a5
153da74406e
hex255cab1c1

10029281729 has 8 divisors (see below), whose sum is σ = 10482081960. Its totient is φ = 9583612416.

The previous prime is 10029281641. The next prime is 10029281749. The reversal of 10029281729 is 92718292001.

It can be written as a sum of positive squares in 4 ways, for example, as 4072992400 + 5956289329 = 63820^2 + 77177^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-10029281729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10029281749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1779854 + ... + 1785479.

It is an arithmetic number, because the mean of its divisors is an integer number (1310260245).

Almost surely, 210029281729 is an apocalyptic number.

It is an amenable number.

10029281729 is a deficient number, since it is larger than the sum of its proper divisors (452800231).

10029281729 is an equidigital number, since it uses as much as digits as its factorization.

10029281729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565459.

The product of its (nonzero) digits is 36288, while the sum is 41.

The spelling of 10029281729 in words is "ten billion, twenty-nine million, two hundred eighty-one thousand, seven hundred twenty-nine".

Divisors: 1 29 97 2813 3565333 103394657 345837301 10029281729