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135396693531 = 33111736414111
BaseRepresentation
bin111111000011001000…
…1011001011000011011
3110221111000202200102000
41332012101121120123
54204243023143111
6142111141012043
712532153622511
oct1760621313033
9427430680360
10135396693531
115246a9a3930
12222a80b4023
13c9c9c87a08
1467a61104b1
1537c6a28c56
hex1f8645961b

135396693531 has 64 divisors (see below), whose sum is σ = 220484782080. Its totient is φ = 81437184000.

The previous prime is 135396693517. The next prime is 135396693533.

135396693531 is a `hidden beast` number, since 13 + 5 + 3 + 9 + 6 + 6 + 93 + 531 = 666.

135396693531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135396693531 - 25 = 135396693499 is a prime.

It is a super-2 number, since 2×1353966935312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135396693533) 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 63 ways as a sum of consecutive naturals, for example, 32933166 + ... + 32937276.

It is an arithmetic number, because the mean of its divisors is an integer number (3445074720).

Almost surely, 2135396693531 is an apocalyptic number.

135396693531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135396693531 is a deficient number, since it is larger than the sum of its proper divisors (85088088549).

135396693531 is a wasteful number, since it uses less digits than its factorization.

135396693531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4939 counting only the distinct ones).

The product of its digits is 5904900, while the sum is 54.

The spelling of 135396693531 in words is "one hundred thirty-five billion, three hundred ninety-six million, six hundred ninety-three thousand, five hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 173 297 519 641 1557 1903 1923 4111 4671 5709 5769 7051 12333 17127 17307 21153 36999 45221 51381 63459 110893 110997 135663 190377 332679 406989 711203 998037 1219823 1220967 2133609 2635151 2994111 3659469 6400827 7823233 7905453 10978407 19202481 23469699 23716359 28986661 32935221 70409097 71149077 86959983 211227291 260879949 455881123 782639847 1367643369 4102930107 5014692353 12308790321 15044077059 45132231177 135396693531