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5605010541 = 36132112803
BaseRepresentation
bin1010011100001010…
…11010110001101101
3112110121211001000000
411032011122301231
542434340314131
62324102454513
7255616542414
oct51605326155
915417731000
105605010541
112416978419
121105134439
136b42bccb0
143b259047b
1522c113ce6
hex14e15ac6d

5605010541 has 56 divisors (see below), whose sum is σ = 9096243296. Its totient is φ = 3431665440.

The previous prime is 5605010531. The next prime is 5605010549. The reversal of 5605010541 is 1450105065.

It is a happy number.

5605010541 is a `hidden beast` number, since 5 + 60 + 50 + 10 + 541 = 666.

It is not a de Polignac number, because 5605010541 - 213 = 5605002349 is a prime.

It is a super-2 number, since 2×56050105412 = 62832286329442225362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605010549) 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 55 ways as a sum of consecutive naturals, for example, 1998246 + ... + 2001048.

It is an arithmetic number, because the mean of its divisors is an integer number (162432916).

Almost surely, 25605010541 is an apocalyptic number.

It is an amenable number.

5605010541 is a deficient number, since it is larger than the sum of its proper divisors (3491232755).

5605010541 is a wasteful number, since it uses less digits than its factorization.

5605010541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5605010541 is about 74866.6183355439. The cubic root of 5605010541 is about 1776.3374741044.

The spelling of 5605010541 in words is "five billion, six hundred five million, ten thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 211 243 351 633 729 1053 1899 2743 2803 3159 5697 8229 8409 9477 17091 24687 25227 36439 51273 74061 75681 109317 153819 222183 227043 327951 591433 666549 681129 983853 1774299 1999647 2043387 2951559 5322897 7688629 8854677 15968691 23065887 26564031 47906073 69197661 143718219 207592983 431154657 622778949 1868336847 5605010541