Search a number
-
+
29957032561 = 1730812
BaseRepresentation
bin11011111001100101…
…000000101001110001
32212022202102221010111
4123321211000221301
5442323000020221
621432335101321
72110235401231
oct337145005161
985282387114
1029957032561
1111782a66a55
125980671841
132a954cc991
141642861cc1
15ba4e8cbe1
hex6f9940a71

29957032561 has 3 divisors (see below), whose sum is σ = 29957205643. Its totient is φ = 29956859480.

The previous prime is 29957032541. The next prime is 29957032577. The reversal of 29957032561 is 16523075992.

The square root of 29957032561 is 173081.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 29939726961 + 17305600 = 173031^2 + 4160^2 .

It is not a de Polignac number, because 29957032561 - 213 = 29957024369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29957032531) 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 2 ways as a sum of consecutive naturals, for example, 86541 + ... + 259621.

Almost surely, 229957032561 is an apocalyptic number.

29957032561 is the 173081-st square number.

29957032561 is the 86541-st centered octagonal number.

It is an amenable number.

29957032561 is a deficient number, since it is larger than the sum of its proper divisors (173082).

29957032561 is an frugal number, since it uses more digits than its factorization.

29957032561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346162 (or 173081 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 29957032561 by its sum of digits (49), we get a square (1467894595489 = 12115672).

The spelling of 29957032561 in words is "twenty-nine billion, nine hundred fifty-seven million, thirty-two thousand, five hundred sixty-one".

Divisors: 1 173081 29957032561