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5007117005 = 5114115714143
BaseRepresentation
bin1001010100111001…
…01000101011001101
3110220221202220020222
410222130220223031
540223310221010
62144503521125
7235036535522
oct45234505315
913827686228
105007117005
11213a429130
12b78a591a5
1361a481137
14356dd5149
151e48b0355
hex12a728acd

5007117005 has 32 divisors (see below), whose sum is σ = 6757890048. Its totient is φ = 3529843200.

The previous prime is 5007116999. The next prime is 5007117007.

5007117005 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5007117005 - 212 = 5007112909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007117007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346964 + ... + 361106.

It is an arithmetic number, because the mean of its divisors is an integer number (211184064).

Almost surely, 25007117005 is an apocalyptic number.

5007117005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5007117005 is a deficient number, since it is larger than the sum of its proper divisors (1750773043).

5007117005 is a wasteful number, since it uses less digits than its factorization.

5007117005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 5007117005 is about 70760.9850482595. The cubic root of 5007117005 is about 1710.7868891903.

It can be divided in two parts, 50071 and 17005, that added together give a palindrome (67076).

The spelling of 5007117005 in words is "five billion, seven million, one hundred seventeen thousand, five".

Divisors: 1 5 11 41 55 157 205 451 785 1727 2255 6437 8635 14143 32185 70715 70807 155573 354035 579863 777865 2220451 2899315 6378493 11102255 24424961 31892465 91038491 122124805 455192455 1001423401 5007117005