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135017580488 = 23710343154311
BaseRepresentation
bin111110110111110101…
…1001100011111001000
3110220111121101202002012
41331233223030133020
54203004000033423
6142005355155052
712516601332620
oct1755753143710
9426447352065
10135017580488
11522959a466a
1222201145a88
13c96957a47b
14676ba25880
1537a35de078
hex1f6facc7c8

135017580488 has 64 divisors (see below), whose sum is σ = 292815544320. Its totient is φ = 57168878400.

The previous prime is 135017580413. The next prime is 135017580497. The reversal of 135017580488 is 884085710531.

It is an unprimeable number.

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, 2458853 + ... + 2513163.

It is an arithmetic number, because the mean of its divisors is an integer number (4575242880).

Almost surely, 2135017580488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135017580488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146407772160).

135017580488 is an abundant number, since it is smaller than the sum of its proper divisors (157797963832).

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

135017580488 is a wasteful number, since it uses less digits than its factorization.

135017580488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54858 (or 54854 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 50.

The spelling of 135017580488 in words is "one hundred thirty-five billion, seventeen million, five hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 431 721 824 862 1442 1724 2884 3017 3448 5768 6034 12068 24136 44393 54311 88786 108622 177572 217244 310751 355144 380177 434488 621502 760354 1243004 1520708 2486008 3041416 5594033 11188066 22376132 23408041 39158231 44752264 46816082 78316462 93632164 156632924 163856287 187264328 313265848 327712574 655425148 1310850296 2411028223 4822056446 9644112892 16877197561 19288225784 33754395122 67508790244 135017580488