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1132338289761 = 327211812174141
BaseRepresentation
bin10000011110100100100…
…111110001110001100001
311000020202121021002122100
4100132210213301301201
5122023012100233021
62224104455201013
7144544253440500
oct20364447616141
94006677232570
101132338289761
113a72494987a8
12163555976169
1382a18730783
143cb3c2aa837
151e6c4a11626
hex107a49f1c61

1132338289761 has 36 divisors (see below), whose sum is σ = 1904248360404. Its totient is φ = 646502270400.

The previous prime is 1132338289759. The next prime is 1132338289801. The reversal of 1132338289761 is 1679828332311.

1132338289761 is a `hidden beast` number, since 1 + 1 + 323 + 38 + 289 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025016529761 + 107321760000 = 1012431^2 + 327600^2 .

It is not a de Polignac number, because 1132338289761 - 21 = 1132338289759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132338289698 and 1132338289707.

It is not an unprimeable number, because it can be changed into a prime (1132338289261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 566250 + ... + 1607891.

It is an arithmetic number, because the mean of its divisors is an integer number (52895787789).

Almost surely, 21132338289761 is an apocalyptic number.

It is an amenable number.

1132338289761 is a deficient number, since it is larger than the sum of its proper divisors (771910070643).

1132338289761 is a wasteful number, since it uses less digits than its factorization.

1132338289761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175342 (or 2175332 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1132338289761 in words is "one trillion, one hundred thirty-two billion, three hundred thirty-eight million, two hundred eighty-nine thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1181 3543 8267 10629 24801 57869 74403 173607 520821 2174141 6522423 15218987 19567269 45656961 106532909 136970883 319598727 958796181 2567660521 7702981563 17973623647 23108944689 53920870941 125815365529 161762612823 377446096587 1132338289761