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4198705875 = 3553731331
BaseRepresentation
bin1111101001000011…
…0010101011010011
3101211121121100200000
43322100302223103
532044332042000
61532344501043
7206022261000
oct37220625323
911747540600
104198705875
111865072961
1299217a783
1351bb44960
142bb8ba8a7
15198926000
hexfa432ad3

4198705875 has 384 divisors, whose sum is σ = 10175692800. Its totient is φ = 1714608000.

The previous prime is 4198705859. The next prime is 4198705877. The reversal of 4198705875 is 5785078914.

It is not a de Polignac number, because 4198705875 - 24 = 4198705859 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198705877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135442110 + ... + 135442140.

It is an arithmetic number, because the mean of its divisors is an integer number (26499200).

Almost surely, 24198705875 is an apocalyptic number.

4198705875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4198705875 is an abundant number, since it is smaller than the sum of its proper divisors (5976986925).

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

4198705875 is an equidigital number, since it uses as much as digits as its factorization.

4198705875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The square root of 4198705875 is about 64797.4218237115. The cubic root of 4198705875 is about 1613.2629164344.

The spelling of 4198705875 in words is "four billion, one hundred ninety-eight million, seven hundred five thousand, eight hundred seventy-five".