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5006610141 = 313295975029
BaseRepresentation
bin1001010100110101…
…01100111011011101
3110220220211010222020
410222122230323131
540223143011031
62144445010353
7235032325011
oct45232547335
913826733866
105006610141
11213a112335
12b788539b9
1361a334510
14356d02541
151e4810096
hex12a6acedd

5006610141 has 32 divisors (see below), whose sum is σ = 7563024000. Its totient is φ = 2924291328.

The previous prime is 5006610079. The next prime is 5006610151. The reversal of 5006610141 is 1410166005.

It is not a de Polignac number, because 5006610141 - 225 = 4973055709 is a prime.

It is a super-2 number, since 2×50066101412 = 50132290207928079762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006610151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29215 + ... + 104243.

It is an arithmetic number, because the mean of its divisors is an integer number (236344500).

Almost surely, 25006610141 is an apocalyptic number.

It is an amenable number.

5006610141 is a deficient number, since it is larger than the sum of its proper divisors (2556413859).

5006610141 is a wasteful number, since it uses less digits than its factorization.

5006610141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75133.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5006610141 is about 70757.4034359656. The cubic root of 5006610141 is about 1710.7291603252.

Adding to 5006610141 its reverse (1410166005), we get a palindrome (6416776146).

The spelling of 5006610141 in words is "five billion, six million, six hundred ten thousand, one hundred forty-one".

Divisors: 1 3 13 29 39 59 87 177 377 767 1131 1711 2301 5133 22243 66729 75029 225087 975377 2175841 2926131 4426711 6527523 13280133 28285933 57547243 84857799 128374619 172641729 385123857 1668870047 5006610141