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3863590016 = 271121331619
BaseRepresentation
bin1110011001001001…
…1011010010000000
3100222021000201010112
43212102123102000
530403034340031
61435214050452
7164512654556
oct34622332200
910867021115
103863590016
111702994400
128b9aa9a28
134975a0450
142891a5bd6
151792cc62b
hexe649b480

3863590016 has 192 divisors, whose sum is σ = 9420230400. Its totient is φ = 1566259200.

The previous prime is 3863589997. The next prime is 3863590057. The reversal of 3863590016 is 6100953683.

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 23 ways as a sum of consecutive naturals, for example, 6241355 + ... + 6241973.

It is an arithmetic number, because the mean of its divisors is an integer number (49063700).

Almost surely, 23863590016 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 3863590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710115200).

3863590016 is an abundant number, since it is smaller than the sum of its proper divisors (5556640384).

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

3863590016 is a wasteful number, since it uses less digits than its factorization.

3863590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 3863590016 is about 62157.7832294557. The cubic root of 3863590016 is about 1569.1471717530.

The spelling of 3863590016 in words is "three billion, eight hundred sixty-three million, five hundred ninety thousand, sixteen".