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29809749025 = 527249332
BaseRepresentation
bin11011110000110011…
…001010110000100001
32211221111022011002201
4123300303022300201
5442022243432100
621405554213201
72103466454200
oct336063126041
984844264081
1029809749025
111170790a721
12593b284201
132a70b42364
14162b083237
15b9709836a
hex6f0ccac21

29809749025 has 27 divisors (see below), whose sum is σ = 43007760441. Its totient is φ = 20436827040.

The previous prime is 29809749023. The next prime is 29809749029. The reversal of 29809749025 is 52094790892.

The square root of 29809749025 is 172655.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3217271841 + 26592477184 = 56721^2 + 163072^2 .

It is not a de Polignac number, because 29809749025 - 21 = 29809749023 is a prime.

It is a super-2 number, since 2×298097490252 (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 (29809749023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6040459 + ... + 6045391.

Almost surely, 229809749025 is an apocalyptic number.

29809749025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29809749025 is the 172655-th square number.

29809749025 is the 86328-th centered octagonal number.

It is an amenable number.

29809749025 is a deficient number, since it is larger than the sum of its proper divisors (13198011416).

29809749025 is an frugal number, since it uses more digits than its factorization.

29809749025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 29809749025 in words is "twenty-nine billion, eight hundred nine million, seven hundred forty-nine thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 4933 24665 34531 123325 172655 241717 863275 1208585 6042925 24334489 121672445 170341423 608362225 851707115 1192389961 4258535575 5961949805 29809749025