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29457838081 = 721973051677
BaseRepresentation
bin11011011011110100…
…101111000000000001
32211000222010020001001
4123123310233000001
5440312201304311
621311023412001
72061664330600
oct333364570001
984028106031
1029457838081
11115471aa831
125861454001
132a15c6a429
1415d6439a37
15b762334c1
hex6dbd2f001

29457838081 has 12 divisors (see below), whose sum is σ = 34441237908. Its totient is φ = 25121396832.

The previous prime is 29457838073. The next prime is 29457838099. The reversal of 29457838081 is 18083875492.

It can be written as a sum of positive squares in 2 ways, for example, as 28648947600 + 808890481 = 169260^2 + 28441^2 .

It is not a de Polignac number, because 29457838081 - 23 = 29457838073 is a prime.

It is a super-2 number, since 2×294578380812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29457838031) 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 11 ways as a sum of consecutive naturals, for example, 1516186 + ... + 1535491.

It is an arithmetic number, because the mean of its divisors is an integer number (2870103159).

Almost surely, 229457838081 is an apocalyptic number.

It is an amenable number.

29457838081 is a deficient number, since it is larger than the sum of its proper divisors (4983399827).

29457838081 is a wasteful number, since it uses less digits than its factorization.

29457838081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051888 (or 3051881 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 29457838081 in words is "twenty-nine billion, four hundred fifty-seven million, eight hundred thirty-eight thousand, eighty-one".

Divisors: 1 7 49 197 1379 9653 3051677 21361739 149532173 601180369 4208262583 29457838081