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11830780032 = 27330809323
BaseRepresentation
bin10110000010010101…
…10110000010000000
31010112111200220012020
423001022312002000
5143212134430112
65233542401440
7566114654031
oct130112660200
933474626166
1011830780032
115021192165
122362130280
131167096576
1480336ca88
1549399648c
hex2c12b6080

11830780032 has 32 divisors (see below), whose sum is σ = 31425510480. Its totient is φ = 3943593216.

The previous prime is 11830780009. The next prime is 11830780033. The reversal of 11830780032 is 23008703811.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11830779975 and 11830780002.

It is not an unprimeable number, because it can be changed into a prime (11830780033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15404278 + ... + 15405045.

Almost surely, 211830780032 is an apocalyptic number.

11830780032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11830780032 is an abundant number, since it is smaller than the sum of its proper divisors (19594730448).

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

11830780032 is an equidigital number, since it uses as much as digits as its factorization.

11830780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809340 (or 30809328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11830780032 in words is "eleven billion, eight hundred thirty million, seven hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 30809323 61618646 92427969 123237292 184855938 246474584 369711876 492949168 739423752 985898336 1478847504 1971796672 2957695008 3943593344 5915390016 11830780032