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12580612541 = 731523111083
BaseRepresentation
bin10111011011101110…
…01110100110111101
31012110202122100000122
423231313032212331
5201231114100131
65440210104325
7623521304450
oct135567164675
935422570018
1012580612541
115376478452
12253127b0a5
131256532a43
14874b99497
154d970dd7b
hex2eddce9bd

12580612541 has 16 divisors (see below), whose sum is σ = 14845820928. Its totient is φ = 10432594800.

The previous prime is 12580612511. The next prime is 12580612559. The reversal of 12580612541 is 14521608521.

It is a cyclic number.

It is not a de Polignac number, because 12580612541 - 26 = 12580612477 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12580612511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129586 + ... + 1140668.

It is an arithmetic number, because the mean of its divisors is an integer number (927863808).

Almost surely, 212580612541 is an apocalyptic number.

It is an amenable number.

12580612541 is a deficient number, since it is larger than the sum of its proper divisors (2265208387).

12580612541 is a wasteful number, since it uses less digits than its factorization.

12580612541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352.

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 12580612541 in words is "twelve billion, five hundred eighty million, six hundred twelve thousand, five hundred forty-one".

Divisors: 1 7 31 217 5231 11083 36617 77581 162161 343573 1135127 2405011 57975173 405826211 1797230363 12580612541