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4194010368 = 283289113181
BaseRepresentation
bin1111100111111011…
…1000010100000000
3101211021202210122100
43321332320110000
532042131312433
61532100110400
7205634333322
oct37176702400
911737683570
104194010368
111862456079
12990695400
1351ab8c652
142bb017612
151982e9b13
hexf9fb8500

4194010368 has 216 divisors, whose sum is σ = 12404606760. Its totient is φ = 1362493440.

The previous prime is 4194010343. The next prime is 4194010393. The reversal of 4194010368 is 8630104914.

4194010368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4194010343) and next prime (4194010393).

It can be written as a sum of positive squares in 4 ways, for example, as 759112704 + 3434897664 = 27552^2 + 58608^2 .

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

It is a congruent number.

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, 23171238 + ... + 23171418.

It is an arithmetic number, because the mean of its divisors is an integer number (57428735).

Almost surely, 24194010368 is an apocalyptic number.

4194010368 is a gapful number since it is divisible by the number (48) 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 4194010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202303380).

4194010368 is an abundant number, since it is smaller than the sum of its proper divisors (8210596392).

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

4194010368 is a wasteful number, since it uses less digits than its factorization.

4194010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4194010368 is about 64761.1794827735. The cubic root of 4194010368 is about 1612.6613094079.

The spelling of 4194010368 in words is "four billion, one hundred ninety-four million, ten thousand, three hundred sixty-eight".