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4214393568 = 25327211171597
BaseRepresentation
bin1111101100110010…
…1000101011100000
3101212201010101010200
43323030220223200
532112341043233
61534105025200
7206302516500
oct37314505340
911781111120
104214393568
111872a082a0
12997485200
13522178308
142bda01a00
15199ec4313
hexfb328ae0

4214393568 has 432 divisors, whose sum is σ = 16113477744. Its totient is φ = 1029611520.

The previous prime is 4214393537. The next prime is 4214393581. The reversal of 4214393568 is 8653934124.

4214393568 is a `hidden beast` number, since 42 + 1 + 43 + 9 + 3 + 568 = 666.

4214393568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42143935682 = 35522226291999541248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2638146 + ... + 2639742.

It is an arithmetic number, because the mean of its divisors is an integer number (37299717).

Almost surely, 24214393568 is an apocalyptic number.

4214393568 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 4214393568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056738872).

4214393568 is an abundant number, since it is smaller than the sum of its proper divisors (11899084176).

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

4214393568 is a wasteful number, since it uses less digits than its factorization.

4214393568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 4214393568 is about 64918.3607926140. The cubic root of 4214393568 is about 1615.2696394065.

The spelling of 4214393568 in words is "four billion, two hundred fourteen million, three hundred ninety-three thousand, five hundred sixty-eight".