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4323409183872 = 2732101311813137
BaseRepresentation
bin111110111010011111010…
…001001100010010000000
3120022022110211010111000100
4332322133101030102000
51031313320222340442
613110051411122400
7624233052500112
oct76723721142200
916268424114010
104323409183872
111417602856219
12599aa4ba3400
132549076c201c
1410d37b4453b2
15776dd85384c
hex3ee9f44c480

4323409183872 has 192 divisors, whose sum is σ = 12467859613560. Its totient is φ = 1438036131840.

The previous prime is 4323409183829. The next prime is 4323409183897. The reversal of 4323409183872 is 2783819043234.

It is a happy number.

4323409183872 is a `hidden beast` number, since 43 + 2 + 340 + 9 + 183 + 87 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4237241103936 + 86168079936 = 2058456^2 + 293544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378197088 + ... + 1378200224.

Almost surely, 24323409183872 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 4323409183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233929806780).

4323409183872 is an abundant number, since it is smaller than the sum of its proper divisors (8144450429688).

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

4323409183872 is a wasteful number, since it uses less digits than its factorization.

4323409183872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4323409183872 in words is "four trillion, three hundred twenty-three billion, four hundred nine million, one hundred eighty-three thousand, eight hundred seventy-two".