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36133406077 = 971049355109
BaseRepresentation
bin100001101001101110…
…000000010101111101
310110021012101012210011
4201221232000111331
51043000122443302
624333252143221
72416263612136
oct415156002575
9113235335704
1036133406077
111436240287a
127005007b11
13353ac9ca72
141a6ac62c8d
15e173145d7
hex869b8057d

36133406077 has 8 divisors (see below), whose sum is σ = 36540819000. Its totient is φ = 35726705664.

The previous prime is 36133406011. The next prime is 36133406081. The reversal of 36133406077 is 77060433163.

It can be written as a sum of positive squares in 4 ways, for example, as 16852972761 + 19280433316 = 129819^2 + 138854^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36133406077 - 211 = 36133404029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36133406377) 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 7 ways as a sum of consecutive naturals, for example, 75802 + ... + 279307.

It is an arithmetic number, because the mean of its divisors is an integer number (4567602375).

Almost surely, 236133406077 is an apocalyptic number.

It is an amenable number.

36133406077 is a deficient number, since it is larger than the sum of its proper divisors (407412923).

36133406077 is a wasteful number, since it uses less digits than its factorization.

36133406077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356255.

The product of its (nonzero) digits is 190512, while the sum is 40.

The spelling of 36133406077 in words is "thirty-six billion, one hundred thirty-three million, four hundred six thousand, seventy-seven".

Divisors: 1 97 1049 101753 355109 34445573 372509341 36133406077