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24469406329 = 19282332
BaseRepresentation
bin10110110010011111…
…011000001001111001
32100011022111122010111
4112302133120021321
5400103132000304
615124024144321
71524242344024
oct266237301171
970138448114
1024469406329
11a417384165
1248aa9080a1
1323cc62c174
141281b0a1bb
15983314704
hex5b27d8279

24469406329 has 9 divisors (see below), whose sum is σ = 25828189263. Its totient is φ = 23178727152.

The previous prime is 24469406327. The next prime is 24469406333. The reversal of 24469406329 is 92360496442.

The square root of 24469406329 is 156427.

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

It can be written as a sum of positive squares in only one way, i.e., 4743765625 + 19725640704 = 68875^2 + 140448^2 .

It is not a de Polignac number, because 24469406329 - 21 = 24469406327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24469406327) 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 8 ways as a sum of consecutive naturals, for example, 2967997 + ... + 2976229.

It is an arithmetic number, because the mean of its divisors is an integer number (2869798807).

Almost surely, 224469406329 is an apocalyptic number.

24469406329 is the 156427-th square number.

24469406329 is the 78214-th centered octagonal number.

It is an amenable number.

24469406329 is a deficient number, since it is larger than the sum of its proper divisors (1358782934).

24469406329 is an frugal number, since it uses more digits than its factorization.

24469406329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 24469406329 by its sum of digits (49), we get a square (1199000910121 = 10949892).

The spelling of 24469406329 in words is "twenty-four billion, four hundred sixty-nine million, four hundred six thousand, three hundred twenty-nine".

Divisors: 1 19 361 8233 156427 2972113 67782289 1287863491 24469406329