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5041331505 = 325741390347
BaseRepresentation
bin1001011000111110…
…01001110100110001
3111000100011011201200
410230133021310301
540311040102010
62152125121413
7235633416330
oct45437116461
914010134650
105041331505
112157777a81
12b883b9269
136245a04c2
1435b77dd17
151e78bccc0
hex12c7c9d31

5041331505 has 48 divisors (see below), whose sum is σ = 10230240384. Its totient is φ = 2248392960.

The previous prime is 5041331483. The next prime is 5041331527. The reversal of 5041331505 is 5051331405.

5041331505 is a `hidden beast` number, since 504 + 1 + 3 + 3 + 150 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5041331483) and next prime (5041331527).

It is not a de Polignac number, because 5041331505 - 26 = 5041331441 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 182259 + ... + 208088.

It is an arithmetic number, because the mean of its divisors is an integer number (213130008).

Almost surely, 25041331505 is an apocalyptic number.

It is an amenable number.

5041331505 is an abundant number, since it is smaller than the sum of its proper divisors (5188908879).

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

5041331505 is a wasteful number, since it uses less digits than its factorization.

5041331505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390406 (or 390403 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5041331505 is about 71002.3345038739. The cubic root of 5041331505 is about 1714.6747484186.

It can be divided in two parts, 50413 and 31505, that added together give a palindrome (81918).

The spelling of 5041331505 in words is "five billion, forty-one million, three hundred thirty-one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 390347 1171041 1951735 2732429 3513123 5855205 8197287 13662145 16004227 17565615 24591861 40986435 48012681 80021135 112029589 122959305 144038043 240063405 336088767 560147945 720190215 1008266301 1680443835 5041331505