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5146893609 = 31113233591453
BaseRepresentation
bin1001100101100011…
…10101110100101001
3111021200210021201020
410302301311310221
541020101043414
62210415443053
7241354605504
oct46261656451
914250707636
105146893609
112201318390
12bb7826489
136404108a0
1436b7bc13b
15201cc07a9
hex132c75d29

5146893609 has 64 divisors (see below), whose sum is σ = 8442040320. Its totient is φ = 2744628480.

The previous prime is 5146893607. The next prime is 5146893659. The reversal of 5146893609 is 9063986415.

It is not a de Polignac number, because 5146893609 - 21 = 5146893607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5146893607) 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 63 ways as a sum of consecutive naturals, for example, 3541527 + ... + 3542979.

It is an arithmetic number, because the mean of its divisors is an integer number (131906880).

Almost surely, 25146893609 is an apocalyptic number.

It is an amenable number.

5146893609 is a deficient number, since it is larger than the sum of its proper divisors (3295146711).

5146893609 is a wasteful number, since it uses less digits than its factorization.

5146893609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 5146893609 is about 71741.8539556931. The cubic root of 5146893609 is about 1726.5602193131.

The spelling of 5146893609 in words is "five billion, one hundred forty-six million, eight hundred ninety-three thousand, six hundred nine".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 359 429 759 897 1077 1453 3289 3949 4359 4667 8257 9867 11847 14001 15983 18889 24771 33419 47949 51337 56667 90827 100257 107341 154011 207779 272481 322023 367609 434447 521627 623337 1102827 1180751 1303341 1564881 3542253 4778917 5737897 6781151 11997421 14336751 17213691 20343453 35992263 74592661 131971631 155966473 223777983 395914893 467899419 1715631203 5146893609