Search a number
-
+
135775848915 = 3357143678147
BaseRepresentation
bin111111001110011011…
…1110000100111010011
3110222110110012202211000
41332130313300213103
54211032104131130
6142212523353043
712544436450010
oct1763467604723
9428413182730
10135775848915
1152644a21993
1222393082783
13ca5a6ab605
14680060a707
1537e9e71260
hex1f9cdf09d3

135775848915 has 32 divisors (see below), whose sum is σ = 275862044160. Its totient is φ = 62068959072.

The previous prime is 135775848893. The next prime is 135775848941. The reversal of 135775848915 is 519848577531.

It is a happy number.

135775848915 is a `hidden beast` number, since 1 + 3 + 577 + 5 + 8 + 48 + 9 + 15 = 666.

It is not a de Polignac number, because 135775848915 - 226 = 135708740051 is a prime.

It is a super-2 number, since 2×1357758489152 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 71838129 + ... + 71840018.

It is an arithmetic number, because the mean of its divisors is an integer number (8620688880).

Almost surely, 2135775848915 is an apocalyptic number.

135775848915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135775848915 is an abundant number, since it is smaller than the sum of its proper divisors (140086195245).

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

135775848915 is a wasteful number, since it uses less digits than its factorization.

135775848915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143678168 (or 143678162 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 63.

The spelling of 135775848915 in words is "one hundred thirty-five billion, seven hundred seventy-five million, eight hundred forty-eight thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 143678147 431034441 718390735 1005747029 1293103323 2155172205 3017241087 3879309969 5028735145 6465516615 9051723261 15086205435 19396549845 27155169783 45258616305 135775848915