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11827480392 = 23327131995009
BaseRepresentation
bin10110000001111100…
…10000011101001000
31010112021111020221100
423000332100131020
5143210313333032
65233343541400
7566044632060
oct130076203510
933467436840
1011827480392
11501a339092
122360bba860
1311664ac710
14802b503a0
1549354397c
hex2c0f90748

11827480392 has 192 divisors, whose sum is σ = 41500368000. Its totient is φ = 2955128832.

The previous prime is 11827480391. The next prime is 11827480429. The reversal of 11827480392 is 29308472811.

It is a happy number.

11827480392 is a `hidden beast` number, since 1 + 1 + 82 + 7 + 480 + 3 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (11827480391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76984 + ... + 171992.

It is an arithmetic number, because the mean of its divisors is an integer number (216147750).

Almost surely, 211827480392 is an apocalyptic number.

11827480392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11827480392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750184000).

11827480392 is an abundant number, since it is smaller than the sum of its proper divisors (29672887608).

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

11827480392 is a wasteful number, since it uses less digits than its factorization.

11827480392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95060 (or 95053 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11827480392 in words is "eleven billion, eight hundred twenty-seven million, four hundred eighty thousand, three hundred ninety-two".