10034152234929 has 27 divisors (see below), whose sum is σ = 14976838272747. Its totient is φ = 6473456542800.

The previous prime is 10034152234907. The next prime is 10034152234961. The reversal of 10034152234929 is 92943225143001.

The square root of 10034152234929 is 3167673.

It is a perfect power (a square), and thus also a powerful number.

10034152234929 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 1 + 522 + 34 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589178529 + 10033563056400 = 24273^2 + 3167580^2 .

It is not a de Polignac number, because 10034152234929 - 2³¹ = 10032004751281 is a prime.

It is a super-2 number, since 2×10034152234929² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10034152234979) 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 26 ways as a sum of consecutive naturals, for example, 294576559 + ... + 294610619.

Almost surely, 2^{10034152234929} is an apocalyptic number.

10034152234929 is the 3167673-rd square number.

10034152234929 is the 1583837-th centered octagonal number.

It is an amenable number.

10034152234929 is a deficient number, since it is larger than the sum of its proper divisors (4942686037818).

10034152234929 is an frugal number, since it uses more digits than its factorization.

10034152234929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68190 (or 34095 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10034152234929 in words is "ten trillion, thirty-four billion, one hundred fifty-two million, two hundred thirty-four thousand, nine hundred twenty-nine".