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135036808777 = 13234718153089
BaseRepresentation
bin111110111000011010…
…0100010111001001001
3110220112221120122100001
41331300310202321021
54203023410340102
6142011323243001
712520223636023
oct1756064427111
9426487518301
10135036808777
11522a5838112
1222207679461
13c970550560
1467703cd013
1537a513b487
hex1f70d22e49

135036808777 has 32 divisors (see below), whose sum is σ = 155834864640. Its totient is φ = 116046120960.

The previous prime is 135036808763. The next prime is 135036808831. The reversal of 135036808777 is 777808630531.

It is a de Polignac number, because none of the positive numbers 2k-135036808777 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (135036803777) 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 31 ways as a sum of consecutive naturals, for example, 2517049 + ... + 2570137.

It is an arithmetic number, because the mean of its divisors is an integer number (4869839520).

Almost surely, 2135036808777 is an apocalyptic number.

It is an amenable number.

135036808777 is a deficient number, since it is larger than the sum of its proper divisors (20798055863).

135036808777 is a wasteful number, since it uses less digits than its factorization.

135036808777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53353.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 135036808777 in words is "one hundred thirty-five billion, thirty-six million, eight hundred eight thousand, seven hundred seventy-seven".

Divisors: 1 13 23 47 181 299 611 1081 2353 4163 8507 14053 53089 54119 110591 195661 690157 1221047 2495183 2543593 9609109 15873611 32437379 57389209 124918417 221009507 451628123 746059717 2873123591 5871165599 10387446829 135036808777