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12439471104 = 210332331931
BaseRepresentation
bin10111001010111001…
…10100010000000000
31012002221001121101000
423211130310100000
5200434001033404
65414205012000
7620155521414
oct134534642000
935087047330
1012439471104
115303836835
1224b1b54000
131233215cb8
14860138d44
154cc12e339
hex2e5734400

12439471104 has 176 divisors, whose sum is σ = 37016965440. Its totient is φ = 4126556160.

The previous prime is 12439471069. The next prime is 12439471123. The reversal of 12439471104 is 40117493421.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6441019 + ... + 6442949.

Almost surely, 212439471104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12439471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508482720).

12439471104 is an abundant number, since it is smaller than the sum of its proper divisors (24577494336).

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

12439471104 is a wasteful number, since it uses less digits than its factorization.

12439471104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12439471104 in words is "twelve billion, four hundred thirty-nine million, four hundred seventy-one thousand, one hundred four".