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29723484025 = 52294412
BaseRepresentation
bin11011101011101010…
…000101111101111001
32211201110222102202201
4123223222011331321
5441333202442100
621353233230201
72101401305554
oct335352057571
984643872681
1029723484025
111167314a534
125916402361
132a58cca491
14161d82969b
15b8e70836a
hex6eba85f79

29723484025 has 45 divisors (see below), whose sum is σ = 39127212433. Its totient is φ = 22398857600.

The previous prime is 29723484017. The next prime is 29723484041. The reversal of 29723484025 is 52048432792.

The square root of 29723484025 is 172405.

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

It can be written as a sum of positive squares in 22 ways, for example, as 18630339049 + 11093144976 = 136493^2 + 105324^2 .

It is not a de Polignac number, because 29723484025 - 23 = 29723484017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 724963005 + ... + 724963045.

Almost surely, 229723484025 is an apocalyptic number.

29723484025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29723484025 is the 172405-th square number.

29723484025 is the 86203-rd centered octagonal number.

It is an amenable number.

29723484025 is a deficient number, since it is larger than the sum of its proper divisors (9403728408).

29723484025 is an frugal number, since it uses more digits than its factorization.

29723484025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 29723484025 in words is "twenty-nine billion, seven hundred twenty-three million, four hundred eighty-four thousand, twenty-five".

Divisors: 1 5 25 29 41 145 205 725 841 1025 1189 1681 4205 5945 8405 21025 24389 29725 34481 42025 48749 121945 172405 243745 609725 707281 862025 999949 1218725 1413721 3536405 4999745 7068605 17682025 24998725 28998521 35343025 40997909 144992605 204989545 724963025 1024947725 1188939361 5944696805 29723484025