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135759448704 = 2731132140021
BaseRepresentation
bin111111001101111100…
…1001100101010000000
3110222102022100112221210
41332123321030222000
54211013404324304
6142211140050120
712544150162665
oct1763371145200
9428368315853
10135759448704
11526367401a0
1222389693940
13ca57188849
1467dc37ba6c
1537e87d1c89
hex1f9be4ca80

135759448704 has 64 divisors (see below), whose sum is σ = 393393869280. Its totient is φ = 41139225600.

The previous prime is 135759448703. The next prime is 135759448739. The reversal of 135759448704 is 407844957531.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (135759448703) 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 7 ways as a sum of consecutive naturals, for example, 16065787 + ... + 16074234.

Almost surely, 2135759448704 is an apocalyptic number.

It is an amenable number.

135759448704 is an abundant number, since it is smaller than the sum of its proper divisors (257634420576).

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

135759448704 is a wasteful number, since it uses less digits than its factorization.

135759448704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32140049 (or 32140037 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 135759448704 in words is "one hundred thirty-five billion, seven hundred fifty-nine million, four hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 32140021 64280042 96420063 128560084 192840126 257120168 353540231 385680252 514240336 707080462 771360504 1028480672 1060620693 1414160924 1542721008 2056961344 2121241386 2828321848 3085442016 4113922688 4242482772 5656643696 6170884032 8484965544 11313287392 12341768064 16969931088 22626574784 33939862176 45253149568 67879724352 135759448704