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42729110969 = 376122738329
BaseRepresentation
bin100111110010110110…
…100111110110111001
311002021212100201221112
4213302312213312321
51200002123022334
631343545050105
73041603310356
oct476266476671
9132255321845
1042729110969
1117137518556
128345a86935
13404c5bc41c
1420d4c1b62d
1511a13bc4ce
hex9f2da7db9

42729110969 has 16 divisors (see below), whose sum is σ = 44628341520. Its totient is φ = 40869826560.

The previous prime is 42729110953. The next prime is 42729111031. The reversal of 42729110969 is 96901192724.

It can be written as a sum of positive squares in 8 ways, for example, as 174372025 + 42554738944 = 13205^2 + 206288^2 .

It is a cyclic number.

It is not a de Polignac number, because 42729110969 - 24 = 42729110953 is a prime.

It is a super-2 number, since 2×427291109692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42729110909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5125997 + ... + 5134325.

It is an arithmetic number, because the mean of its divisors is an integer number (2789271345).

Almost surely, 242729110969 is an apocalyptic number.

It is an amenable number.

42729110969 is a deficient number, since it is larger than the sum of its proper divisors (1899230551).

42729110969 is a wasteful number, since it uses less digits than its factorization.

42729110969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700.

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 42729110969 in words is "forty-two billion, seven hundred twenty-nine million, one hundred ten thousand, nine hundred sixty-nine".

Divisors: 1 37 61 2257 2273 8329 84101 138653 308173 508069 5130161 18798553 18931817 700477229 1154840837 42729110969