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36672314273 = 723720227421
BaseRepresentation
bin100010001001110101…
…110001101110100001
310111122202102120211222
4202021311301232201
51100101103024043
624502542544425
72435526346100
oct421165615641
9114582376758
1036672314273
1114609624551
127135598115
1335c582875a
141abc666037
15e497b5d68
hex889d71ba1

36672314273 has 12 divisors (see below), whose sum is σ = 43812596052. Its totient is φ = 30583859040.

The previous prime is 36672314267. The next prime is 36672314279. The reversal of 36672314273 is 37241327663.

It is an interprime number because it is at equal distance from previous prime (36672314267) and next prime (36672314279).

It can be written as a sum of positive squares in 2 ways, for example, as 27979921984 + 8692392289 = 167272^2 + 93233^2 .

It is not a de Polignac number, because 36672314273 - 26 = 36672314209 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36672314279) 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 11 ways as a sum of consecutive naturals, for example, 10111898 + ... + 10115523.

It is an arithmetic number, because the mean of its divisors is an integer number (3651049671).

Almost surely, 236672314273 is an apocalyptic number.

It is an amenable number.

36672314273 is a deficient number, since it is larger than the sum of its proper divisors (7140281779).

36672314273 is a wasteful number, since it uses less digits than its factorization.

36672314273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20227472 (or 20227465 counting only the distinct ones).

The product of its digits is 762048, while the sum is 44.

The spelling of 36672314273 in words is "thirty-six billion, six hundred seventy-two million, three hundred fourteen thousand, two hundred seventy-three".

Divisors: 1 7 37 49 259 1813 20227421 141591947 748414577 991143629 5238902039 36672314273