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135580761517 = 2914093318097
BaseRepresentation
bin111111001000100111…
…1100011110110101101
3110221221212010022012211
41332101033203312231
54210132133332032
6142141314130421
712536550313045
oct1762117436655
9427855108184
10135580761517
1152554894933
1222339880a11
13ca29154396
1467c2746725
1537d7c87747
hex1f913e3dad

135580761517 has 8 divisors (see below), whose sum is σ = 140355545400. Its totient is φ = 130812616704.

The previous prime is 135580761443. The next prime is 135580761571. The reversal of 135580761517 is 715167085531.

It can be written as a sum of positive squares in 4 ways, for example, as 5103081 + 135575658436 = 2259^2 + 368206^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135580761517 - 223 = 135572372909 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 (135580761577) 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 7 ways as a sum of consecutive naturals, for example, 1618188 + ... + 1699909.

It is an arithmetic number, because the mean of its divisors is an integer number (17544443175).

Almost surely, 2135580761517 is an apocalyptic number.

It is an amenable number.

135580761517 is a deficient number, since it is larger than the sum of its proper divisors (4774783883).

135580761517 is a wasteful number, since it uses less digits than its factorization.

135580761517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319535.

The product of its (nonzero) digits is 882000, while the sum is 49.

The spelling of 135580761517 in words is "one hundred thirty-five billion, five hundred eighty million, seven hundred sixty-one thousand, five hundred seventeen".

Divisors: 1 29 1409 40861 3318097 96224813 4675198673 135580761517