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5140363735 = 5133153127379
BaseRepresentation
bin1001100100110001…
…11011100111010111
3111021020111112102001
410302120323213113
541011413114420
62210023500131
7241245241123
oct46230734727
914236445361
105140363735
1121a86683a1
12bb55b7647
1363bc65660
1436a99c583
15201430b0a
hex13263b9d7

5140363735 has 64 divisors (see below), whose sum is σ = 7060193280. Its totient is φ = 3566384640.

The previous prime is 5140363717. The next prime is 5140363741. The reversal of 5140363735 is 5373630415.

It is not a de Polignac number, because 5140363735 - 25 = 5140363703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5140363694 and 5140363703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13562776 + ... + 13563154.

It is an arithmetic number, because the mean of its divisors is an integer number (110315520).

Almost surely, 25140363735 is an apocalyptic number.

5140363735 is a deficient number, since it is larger than the sum of its proper divisors (1919829545).

5140363735 is a wasteful number, since it uses less digits than its factorization.

5140363735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 113400, while the sum is 37.

The square root of 5140363735 is about 71696.3299967300. The cubic root of 5140363735 is about 1725.8297468650.

The spelling of 5140363735 in words is "five billion, one hundred forty million, three hundred sixty-three thousand, seven hundred thirty-five".

Divisors: 1 5 13 31 53 65 127 155 265 379 403 635 689 1643 1651 1895 2015 3445 3937 4927 6731 8215 8255 11749 19685 20087 21359 24635 33655 48133 51181 58745 87503 100435 106795 152737 208661 240665 255905 261131 437515 622697 625729 763685 1043305 1305655 1492123 2551049 2712593 3113485 3128645 7460615 8095061 12755245 13562965 19397599 33163637 40475305 79082519 96987995 165818185 395412595 1028072747 5140363735