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2413688805 = 3251117927241
BaseRepresentation
bin1000111111011101…
…1111011111100101
320020012210002120200
42033313133133211
514420401020210
61035301421113
7113546005413
oct21767373745
96205702520
102413688805
111029512140
1257440a799
132c609c538
1418c7c42b3
15e1d7c0c0
hex8fddf7e5

2413688805 has 48 divisors (see below), whose sum is σ = 4589732160. Its totient is φ = 1163692800.

The previous prime is 2413688803. The next prime is 2413688833. The reversal of 2413688805 is 5088863142.

It is not a de Polignac number, because 2413688805 - 21 = 2413688803 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413688801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74985 + ... + 102225.

It is an arithmetic number, because the mean of its divisors is an integer number (95619420).

Almost surely, 22413688805 is an apocalyptic number.

It is an amenable number.

2413688805 is a deficient number, since it is larger than the sum of its proper divisors (2176043355).

2413688805 is a wasteful number, since it uses less digits than its factorization.

2413688805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27442 (or 27439 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2413688805 is about 49129.3069867671. The cubic root of 2413688805 is about 1341.4065584433.

The spelling of 2413688805 in words is "two billion, four hundred thirteen million, six hundred eighty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 179 495 537 895 1611 1969 2685 5907 8055 9845 17721 27241 29535 81723 88605 136205 245169 299651 408615 898953 1225845 1498255 2696859 4494765 4876139 13484295 14628417 24380695 43885251 53637529 73142085 160912587 219426255 268187645 482737761 804562935 2413688805