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11682527088 = 243243385981
BaseRepresentation
bin10101110000101010…
…10011011101110000
31010011011201212101110
422320111103131300
5142411211331323
65211125033320
7562334561511
oct127025233560
933134655343
1011682527088
114a55533571
122320555840
13114245992b
147cb7baa08
1548595e793
hex2b8553770

11682527088 has 20 divisors (see below), whose sum is σ = 30179861768. Its totient is φ = 3894175680.

The previous prime is 11682527083. The next prime is 11682527117. The reversal of 11682527088 is 88072528611.

11682527088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 243385981 = 11682527088 / (1 + 1 + 6 + 8 + 2 + 5 + 2 + 7 + 0 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682527083) 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 3 ways as a sum of consecutive naturals, for example, 121692943 + ... + 121693038.

Almost surely, 211682527088 is an apocalyptic number.

It is an amenable number.

11682527088 is an abundant number, since it is smaller than the sum of its proper divisors (18497334680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11682527088 is a wasteful number, since it uses less digits than its factorization.

11682527088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243385992 (or 243385986 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 11682527088 in words is "eleven billion, six hundred eighty-two million, five hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 243385981 486771962 730157943 973543924 1460315886 1947087848 2920631772 3894175696 5841263544 11682527088