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135306517424 = 2413743875521
BaseRepresentation
bin111111000000011100…
…1011001101110110000
3110221020202002021001012
41332000321121232300
54204101432024144
6142054200130052
712530010264431
oct1760071315660
9427222067035
10135306517424
1152424002221
1222281a66928
13c9b43a3880
146798159488
1537bdb64e9e
hex1f80e59bb0

135306517424 has 40 divisors (see below), whose sum is σ = 282702551712. Its totient is φ = 62365040640.

The previous prime is 135306517393. The next prime is 135306517481. The reversal of 135306517424 is 424715603531.

It is a super-2 number, since 2×1353065174242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 283217 + ... + 592304.

Almost surely, 2135306517424 is an apocalyptic number.

It is an amenable number.

135306517424 is an abundant number, since it is smaller than the sum of its proper divisors (147396034288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135306517424 is a wasteful number, since it uses less digits than its factorization.

135306517424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876285 (or 876279 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 135306517424 in words is "one hundred thirty-five billion, three hundred six million, five hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 743 1486 2972 5944 9659 11888 19318 38636 77272 154544 875521 1751042 3502084 7004168 11381773 14008336 22763546 45527092 91054184 182108368 650512103 1301024206 2602048412 5204096824 8456657339 10408193648 16913314678 33826629356 67653258712 135306517424