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136829709025 = 5216724432
BaseRepresentation
bin111111101101110101…
…1111010101011100001
3111002011220020102002221
41333123223322223201
54220211401142100
6142505251311041
712612524223322
oct1773353725341
9432156212087
10136829709025
1153035892659
1222627bab481
13cb97b25b89
1468a0578449
15385c74101a
hex1fdbafaae1

136829709025 has 27 divisors (see below), whose sum is σ = 171077080531. Its totient is φ = 108562678640.

The previous prime is 136829709017. The next prime is 136829709043. The reversal of 136829709025 is 520907928631.

The square root of 136829709025 is 369905.

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

It can be written as a sum of positive squares in only one way, i.e., 49258695249 + 87571013776 = 221943^2 + 295924^2 .

It is not a de Polignac number, because 136829709025 - 23 = 136829709017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 308870454 + ... + 308870896.

Almost surely, 2136829709025 is an apocalyptic number.

136829709025 is the 369905-th square number.

136829709025 is the 184953-rd centered octagonal number.

It is an amenable number.

136829709025 is a deficient number, since it is larger than the sum of its proper divisors (34247371506).

136829709025 is an frugal number, since it uses more digits than its factorization.

136829709025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 136829709025 in words is "one hundred thirty-six billion, eight hundred twenty-nine million, seven hundred nine thousand, twenty-five".

Divisors: 1 5 25 167 443 835 2215 4175 11075 27889 73981 139445 196249 369905 697225 981245 1849525 4906225 12354827 32773583 61774135 163867915 308870675 819339575 5473188361 27365941805 136829709025