10006263729 has 24 divisors (see below), whose sum is σ = 18019939392. Its totient is φ = 5198058720.

The previous prime is 10006263719. The next prime is 10006263809. The reversal of 10006263729 is 92736260001.

10006263729 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 626 + 3 + 7 + 29 = 666.

It is not a de Polignac number, because 10006263729 - 2²⁸ = 9737828273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10006263693 and 10006263702.

It is not an unprimeable number, because it can be changed into a prime (10006263719) 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 23 ways as a sum of consecutive naturals, for example, 7218834 + ... + 7220219.

It is an arithmetic number, because the mean of its divisors is an integer number (750830808).

Almost surely, 2^10006263729 is an apocalyptic number.

It is an amenable number.

10006263729 is a deficient number, since it is larger than the sum of its proper divisors (8013675663).

10006263729 is a wasteful number, since it uses less digits than its factorization.

10006263729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439077 (or 14439074 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10006263729 in words is "ten billion, six million, two hundred sixty-three thousand, seven hundred twenty-nine".