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29720036025 = 365212772
BaseRepresentation
bin11011101011011100…
…111100001010111001
32211201020111021000000
4123223130330022321
5441331312123100
621353031303213
72101330065231
oct335334741271
984636437000
1029720036025
1111671204a49
12591521ab09
132a58390c44
14161d1accc1
15b8e276900
hex6eb73c2b9

29720036025 has 63 divisors (see below), whose sum is σ = 55297293181. Its totient is φ = 15838273440.

The previous prime is 29720036023. The next prime is 29720036057. The reversal of 29720036025 is 52063002792.

The square root of 29720036025 is 172395.

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

29720036025 is a `hidden beast` number, since 2 + 97 + 200 + 360 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9308601 + 29710727424 = 3051^2 + 172368^2 .

It is not a de Polignac number, because 29720036025 - 21 = 29720036023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29720036023) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23272687 + ... + 23273963.

Almost surely, 229720036025 is an apocalyptic number.

29720036025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29720036025 is the 172395-th square number.

29720036025 is the 86198-th centered octagonal number.

It is an amenable number.

29720036025 is a deficient number, since it is larger than the sum of its proper divisors (25577257156).

29720036025 is an frugal number, since it uses more digits than its factorization.

29720036025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 29720036025 by its sum of digits (36), we get a square (1069921296900 = 10343702).

The spelling of 29720036025 in words is "twenty-nine billion, seven hundred twenty million, thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 1277 2025 3645 3831 6075 6385 11493 18225 19155 31925 34479 57465 95775 103437 172395 287325 310311 517185 861975 930933 1551555 1630729 2585925 4654665 4892187 7757775 8153645 14676561 23273325 24460935 40768225 44029683 73382805 122304675 132089049 220148415 366914025 396267147 660445245 1100742075 1188801441 1981335735 3302226225 5944007205 9906678675 29720036025