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5436416146345 = 58314987918107
BaseRepresentation
bin100111100011100001110…
…1001110011101110101001
3201020201100012002101220221
41033013003221303232221
51203032240013140340
615321242145050041
71100524313541052
oct117070351635651
921221305071827
105436416146345
111806631207678
12739744926921
133058621390a2
1414b1a416b729
159663117e44a
hex4f1c3a73ba9

5436416146345 has 16 divisors (see below), whose sum is σ = 6646608964800. Its totient is φ = 4267896537664.

The previous prime is 5436416146331. The next prime is 5436416146379.

5436416146345 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 5436416146345 - 221 = 5436414049193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5436416146292 and 5436416146301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43897219 + ... + 44020888.

It is an arithmetic number, because the mean of its divisors is an integer number (415413060300).

Almost surely, 25436416146345 is an apocalyptic number.

It is an amenable number.

5436416146345 is a deficient number, since it is larger than the sum of its proper divisors (1210192818455).

5436416146345 is a wasteful number, since it uses less digits than its factorization.

5436416146345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87918344.

The product of its digits is 12441600, while the sum is 52.

The spelling of 5436416146345 in words is "five trillion, four hundred thirty-six billion, four hundred sixteen million, one hundred forty-six thousand, three hundred forty-five".

Divisors: 1 5 83 149 415 745 12367 61835 87918107 439590535 7297202881 13099797943 36486014405 65498989715 1087283229269 5436416146345