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14564046541 = 112120364021
BaseRepresentation
bin11011001000001010…
…11011011011001101
31101120222211012222011
431210011123123031
5214311343442131
610405102021221
71023624232042
oct154405333315
941528735864
1014564046541
1161a402a800
1229a5577811
1314b1429a25
149c23811c9
155a38ed0b1
hex36415b6cd

14564046541 has 6 divisors (see below), whose sum is σ = 16008414926. Its totient is φ = 13240042200.

The previous prime is 14564046509. The next prime is 14564046547.

It is a happy number.

14564046541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12316338441 + 2247708100 = 110979^2 + 47410^2 .

It is not a de Polignac number, because 14564046541 - 25 = 14564046509 is a prime.

It is a super-2 number, since 2×145640465412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14564046494 and 14564046503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14564046547) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60181890 + ... + 60182131.

Almost surely, 214564046541 is an apocalyptic number.

14564046541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14564046541 is a deficient number, since it is larger than the sum of its proper divisors (1444368385).

14564046541 is a wasteful number, since it uses less digits than its factorization.

14564046541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120364043 (or 120364032 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 14564046541 in words is "fourteen billion, five hundred sixty-four million, forty-six thousand, five hundred forty-one".

Divisors: 1 11 121 120364021 1324004231 14564046541