Search a number
-
+
29122446409 = 72243792
BaseRepresentation
bin11011000111110101…
…010100010001001001
32210011121000120011021
4123013311110101021
5434120321241114
621213443032441
72050452465400
oct330765242111
983147016137
1029122446409
1111394953031
12578906b721
13299162a514
1415a3a92637
15b56a83024
hex6c7d54449

29122446409 has 9 divisors (see below), whose sum is σ = 33878521197. Its totient is φ = 24961073004.

The previous prime is 29122446407. The next prime is 29122446421. The reversal of 29122446409 is 90464422192.

The square root of 29122446409 is 170653.

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

It is not a de Polignac number, because 29122446409 - 21 = 29122446407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29122446401) 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 8 ways as a sum of consecutive naturals, for example, 1182382 + ... + 1206760.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280133).

Almost surely, 229122446409 is an apocalyptic number.

29122446409 is the 170653-rd square number.

29122446409 is the 85327-th centered octagonal number.

It is an amenable number.

29122446409 is a deficient number, since it is larger than the sum of its proper divisors (4756074788).

29122446409 is an frugal number, since it uses more digits than its factorization.

29122446409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48772 (or 24386 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 29122446409 in words is "twenty-nine billion, one hundred twenty-two million, four hundred forty-six thousand, four hundred nine".

Divisors: 1 7 49 24379 170653 1194571 594335641 4160349487 29122446409