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135705443536 = 2413652430017
BaseRepresentation
bin111111001100010101…
…1001011110011010000
3110222021112201210210101
41332120223023303100
54210411043143121
6142201530342144
712542623144345
oct1763053136320
9428245653711
10135705443536
1152609204323
122237358a954
13ca48c2a420
1467d51207cc
1537e3bb5491
hex1f98acbcd0

135705443536 has 20 divisors (see below), whose sum is σ = 283154627812. Its totient is φ = 62633281536.

The previous prime is 135705443519. The next prime is 135705443539. The reversal of 135705443536 is 635344507531.

It can be written as a sum of positive squares in 2 ways, for example, as 19028547136 + 116676896400 = 137944^2 + 341580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135705443539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 326214801 + ... + 326215216.

Almost surely, 2135705443536 is an apocalyptic number.

135705443536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135705443536 is an abundant number, since it is smaller than the sum of its proper divisors (147449184276).

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

135705443536 is a wasteful number, since it uses less digits than its factorization.

135705443536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652430038 (or 652430032 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 135705443536 in words is "one hundred thirty-five billion, seven hundred five million, four hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 652430017 1304860034 2609720068 5219440136 8481590221 10438880272 16963180442 33926360884 67852721768 135705443536