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36677995225 = 52383032
BaseRepresentation
bin100010001010001011…
…011100101011011001
310111200011010012122121
4202022023130223121
51100104031321400
624503304421241
72435625546454
oct421213345331
9114604105577
1036677995225
1114611854753
127137477821
1335c6a67471
141abd30449b
15e4a03921a
hex88a2dcad9

36677995225 has 9 divisors (see below), whose sum is σ = 45481901503. Its totient is φ = 29341630120.

The previous prime is 36677995213. The next prime is 36677995279. The reversal of 36677995225 is 52259977663.

The square root of 36677995225 is 191515.

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., 13204078281 + 23473916944 = 114909^2 + 153212^2 .

It is not a de Polignac number, because 36677995225 - 233 = 28088060633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938424 + ... + 976726.

Almost surely, 236677995225 is an apocalyptic number.

36677995225 is the 191515-th square number.

36677995225 is the 95758-th centered octagonal number.

It is an amenable number.

36677995225 is a deficient number, since it is larger than the sum of its proper divisors (8803906278).

36677995225 is an frugal number, since it uses more digits than its factorization.

36677995225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76616 (or 38308 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 61.

The spelling of 36677995225 in words is "thirty-six billion, six hundred seventy-seven million, nine hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 25 38303 191515 957575 1467119809 7335599045 36677995225