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136300470272 = 21340792
BaseRepresentation
bin111111011110000100…
…1000010000000000000
3111000211000101022000122
41332330021002000000
54213120410022042
6142340544035412
712563436611231
oct1767411020000
9430730338018
10136300470272
115289407575a
12224ba902b68
13cb122a4455
146850171088
15382b04e7d2
hex1fbc242000

136300470272 has 42 divisors (see below), whose sum is σ = 272651144943. Its totient is φ = 68133527552.

The previous prime is 136300470203. The next prime is 136300470281. The reversal of 136300470272 is 272074003631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 68150235136 + 68150235136 = 261056^2 + 261056^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261056.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 33413129 + ... + 33417207.

Almost surely, 2136300470272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136300470272

136300470272 is an abundant number, since it is smaller than the sum of its proper divisors (136350674671).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136300470272 is an frugal number, since it uses more digits than its factorization.

136300470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 136300470272 in words is "one hundred thirty-six billion, three hundred million, four hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4079 4096 8158 8192 16316 32632 65264 130528 261056 522112 1044224 2088448 4176896 8353792 16638241 16707584 33276482 33415168 66552964 133105928 266211856 532423712 1064847424 2129694848 4259389696 8518779392 17037558784 34075117568 68150235136 136300470272