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135617020605 = 3551125140427
BaseRepresentation
bin111111001001101100…
…1111000001010111101
3110222001101100110100000
41332103121320022331
54210220424124410
6142145051224513
712540500440503
oct1762331701275
9428041313300
10135617020605
11525732aa920
1222349a48139
13ca3380b271
1467c74a4673
1537db04adc0
hex1f936782bd

135617020605 has 96 divisors (see below), whose sum is σ = 267003330048. Its totient is φ = 65490120000.

The previous prime is 135617020601. The next prime is 135617020619. The reversal of 135617020605 is 506020716531.

135617020605 is a `hidden beast` number, since 1 + 3 + 561 + 70 + 20 + 6 + 0 + 5 = 666.

It is not a de Polignac number, because 135617020605 - 22 = 135617020601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135617020605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135617020601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3334402 + ... + 3374828.

It is an arithmetic number, because the mean of its divisors is an integer number (2781284688).

Almost surely, 2135617020605 is an apocalyptic number.

135617020605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135617020605 is a deficient number, since it is larger than the sum of its proper divisors (131386309443).

135617020605 is a wasteful number, since it uses less digits than its factorization.

135617020605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40709 (or 40697 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 135617020605 in words is "one hundred thirty-five billion, six hundred seventeen million, twenty thousand, six hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 251 297 405 495 753 891 1215 1255 1485 2259 2673 2761 3765 4455 6777 8283 11295 13365 13805 20331 24849 33885 40427 41415 60993 74547 101655 121281 124245 202135 223641 304965 363843 372735 444697 606405 670923 1091529 1118205 1334091 1819215 2223485 3274587 3354615 4002273 5457645 6670455 9823761 10147177 12006819 16372935 20011365 30441531 36020457 49118805 50735885 60034095 91324593 108061371 111618947 152207655 180102285 273973779 334856841 456622965 540306855 558094735 821921337 1004570523 1369868895 1674284205 2465764011 3013711569 4109606685 5022852615 9041134707 12328820055 15068557845 27123404121 45205673535 135617020605