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36723206689 = 132147412
BaseRepresentation
bin100010001100110111…
…111010101000100001
310111210022012012010021
4202030313322220201
51100202120103224
624512001433441
72440015051351
oct421467725041
9114708165107
1036723206689
11146353247a4
12714a63b881
133603237100
141ac5312b61
15e4deba1e4
hex88cdfaa21

36723206689 has 9 divisors (see below), whose sum is σ = 39768063609. Its totient is φ = 33896045040.

The previous prime is 36723206617. The next prime is 36723206699. The reversal of 36723206689 is 98660232763.

The square root of 36723206689 is 191633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1906632225 + 34816574464 = 43665^2 + 186592^2 .

It is not a de Polignac number, because 36723206689 - 217 = 36723075617 is a prime.

It is a super-3 number, since 3×367232066893 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36723206699) by changing a digit.

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, 2483859 + ... + 2498599.

Almost surely, 236723206689 is an apocalyptic number.

36723206689 is the 191633-rd square number.

36723206689 is the 95817-th centered octagonal number.

It is an amenable number.

36723206689 is a deficient number, since it is larger than the sum of its proper divisors (3044856920).

36723206689 is an frugal number, since it uses more digits than its factorization.

36723206689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 36723206689 in words is "thirty-six billion, seven hundred twenty-three million, two hundred six thousand, six hundred eighty-nine".

Divisors: 1 13 169 14741 191633 2491229 217297081 2824862053 36723206689