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4428092400075 = 3352233137435783
BaseRepresentation
bin100000001101111111011…
…0111111110000111001011
3120200022200101001212011000
41000123332313332013023
51040022213123300300
613230123151510043
7634630154241141
oct100337667760713
916608611055130
104428092400075
111457a417a0a33
125b623b228323
1326174b536cc6
1411446c465591
157a2b8cbcc00
hex406fedfe1cb

4428092400075 has 384 divisors, whose sum is σ = 9209741967360. Its totient is φ = 2077190438400.

The previous prime is 4428092400047. The next prime is 4428092400089. The reversal of 4428092400075 is 5700042908244.

4428092400075 is a `hidden beast` number, since 442 + 80 + 92 + 40 + 0 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 4428092400075 - 214 = 4428092383691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4428092400075.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 765705634 + ... + 765711416.

It is an arithmetic number, because the mean of its divisors is an integer number (23983703040).

Almost surely, 24428092400075 is an apocalyptic number.

4428092400075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4428092400075 is an abundant number, since it is smaller than the sum of its proper divisors (4781649567285).

4428092400075 is a wasteful number, since it uses less digits than its factorization.

4428092400075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4428092400075 in words is "four trillion, four hundred twenty-eight billion, ninety-two million, four hundred thousand, seventy-five".