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5005726627 = 112942137273
BaseRepresentation
bin1001010100101110…
…10101001110100011
3110220212011021000111
410222113111032203
540222431223002
62144414032151
7235021655116
oct45227251643
913825137014
105005726627
112139669560
12b784a8657
1361a0b5325
14356b5257d
151e46d83d7
hex12a5d53a3

5005726627 has 16 divisors (see below), whose sum is σ = 5662666080. Its totient is φ = 4383187200.

The previous prime is 5005726541. The next prime is 5005726679. The reversal of 5005726627 is 7266275005.

It is a cyclic number.

It is not a de Polignac number, because 5005726627 - 27 = 5005726499 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5005726627.

It is not an unprimeable number, because it can be changed into a prime (5005726027) 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 15 ways as a sum of consecutive naturals, for example, 115663 + ... + 152935.

It is an arithmetic number, because the mean of its divisors is an integer number (353916630).

Almost surely, 25005726627 is an apocalyptic number.

5005726627 is a deficient number, since it is larger than the sum of its proper divisors (656939453).

5005726627 is a wasteful number, since it uses less digits than its factorization.

5005726627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37734.

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 5005726627 is about 70751.1598986193. The cubic root of 5005726627 is about 1710.6285238974.

The spelling of 5005726627 in words is "five billion, five million, seven hundred twenty-six thousand, six hundred twenty-seven".

Divisors: 1 11 29 319 421 4631 12209 37273 134299 410003 1080917 11890087 15691933 172611263 455066057 5005726627