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6423043476960 = 2532511171910631181
BaseRepresentation
bin101110101110111101100…
…1110011000110111100000
3211202000222221110211122200
41131131323032120313200
51320213343112230320
621354412212533200
71232023001510565
oct135357316306740
924660887424580
106423043476960
112056aa765a090
128789b4321200
133778c8a705b6
14182c3c55a86c
15b21288cd290
hex5d77b398de0

6423043476960 has 1152 divisors, whose sum is σ = 26697955415040. Its totient is φ = 1385894707200.

The previous prime is 6423043476953. The next prime is 6423043476989. The reversal of 6423043476960 is 696743403246.

6423043476960 is a `hidden beast` number, since 6 + 4 + 230 + 4 + 347 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6423043476897 and 6423043476906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5438647570 + ... + 5438648750.

It is an arithmetic number, because the mean of its divisors is an integer number (23175308520).

Almost surely, 26423043476960 is an apocalyptic number.

6423043476960 is a gapful number since it is divisible by the number (60) 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 6423043476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348977707520).

6423043476960 is an abundant number, since it is smaller than the sum of its proper divisors (20274911938080).

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

6423043476960 is a wasteful number, since it uses less digits than its factorization.

6423043476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 6423043476960 in words is "six trillion, four hundred twenty-three billion, forty-three million, four hundred seventy-six thousand, nine hundred sixty".