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12073771008 = 213331321719
BaseRepresentation
bin10110011111010011…
…10010000000000000
31011011102221010011000
423033221302000000
5144211341133013
65314022452000
7605125234365
oct131751620000
934142833130
1012073771008
115136368952
12240b594000
1311a5523900
1482774246c
154a9e93973
hex2cfa72000

12073771008 has 672 divisors, whose sum is σ = 43172481600. Its totient is φ = 3312451584.

The previous prime is 12073770959. The next prime is 12073771009. The reversal of 12073771008 is 80017737021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12073771009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635461623 + ... + 635461641.

Almost surely, 212073771008 is an apocalyptic number.

12073771008 is a gapful number since it is divisible by the number (18) 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 12073771008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586240800).

12073771008 is an abundant number, since it is smaller than the sum of its proper divisors (31098710592).

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

12073771008 is a wasteful number, since it uses less digits than its factorization.

12073771008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 12073771008 in words is "twelve billion, seventy-three million, seven hundred seventy-one thousand, eight".