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123683383680 = 2735437571979
BaseRepresentation
bin111001100110000011…
…0101010100110000000
3102211020201002220000020
41303030012222212000
54011300421234210
6132452552053440
711635663262223
oct1631406524600
9384221086006
10123683383680
11484aa05586a
121bb79394280
13b881340a3c
145db45dd5ba
15333d538770
hex1ccc1aa980

123683383680 has 256 divisors, whose sum is σ = 404146195200. Its totient is φ = 32156393472.

The previous prime is 123683383651. The next prime is 123683383739. The reversal of 123683383680 is 86383386321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62496931 + ... + 62498909.

It is an arithmetic number, because the mean of its divisors is an integer number (1578696075).

Almost surely, 2123683383680 is an apocalyptic number.

123683383680 is a gapful number since it is divisible by the number (10) 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 123683383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202073097600).

123683383680 is an abundant number, since it is smaller than the sum of its proper divisors (280462811520).

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

123683383680 is a wasteful number, since it uses less digits than its factorization.

123683383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 123683383680 in words is "one hundred twenty-three billion, six hundred eighty-three million, three hundred eighty-three thousand, six hundred eighty".