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123173041680 = 2432513173372297
BaseRepresentation
bin111001010110110101…
…1110111011000010000
3102202221010210211101200
41302231223313120100
54004224244313210
6132330201431200
711620225402533
oct1625553673020
9382833724350
10123173041680
1148267a75317
121ba5649b500
13b7cc6a7520
145d66914a1a
15330d82b0c0
hex1cadaf7610

123173041680 has 480 divisors, whose sum is σ = 473285895264. Its totient is φ = 28438953984.

The previous prime is 123173041679. The next prime is 123173041723. The reversal of 123173041680 is 86140371321.

It is a happy number.

123173041680 is a `hidden beast` number, since 1 + 231 + 7 + 3 + 0 + 416 + 8 + 0 = 666.

123173041680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 44620647696 + 78552393984 = 211236^2 + 280272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53622292 + ... + 53624588.

Almost surely, 2123173041680 is an apocalyptic number.

123173041680 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 123173041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236642947632).

123173041680 is an abundant number, since it is smaller than the sum of its proper divisors (350112853584).

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

123173041680 is a wasteful number, since it uses less digits than its factorization.

123173041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2674 counting only the distinct ones).

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

The spelling of 123173041680 in words is "one hundred twenty-three billion, one hundred seventy-three million, forty-one thousand, six hundred eighty".