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135827242380 = 22325754595791
BaseRepresentation
bin111111001111111101…
…1110011110110001100
3110222121000220211101200
41332133323303312030
54211133233224010
6142222001105500
712545632340124
oct1763773636614
9428530824350
10135827242380
1152670a34625
12223a8328290
13ca6823404b
146807387c84
1537ee723cc0
hex1f9fef3d8c

135827242380 has 36 divisors (see below), whose sum is σ = 412009302432. Its totient is φ = 36220597920.

The previous prime is 135827242367. The next prime is 135827242391. The reversal of 135827242380 is 83242728531.

135827242380 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 27 + 242 + 380 = 666.

135827242380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377297716 + ... + 377298075.

Almost surely, 2135827242380 is an apocalyptic number.

135827242380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135827242380 is an abundant number, since it is smaller than the sum of its proper divisors (276182060052).

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

135827242380 is a wasteful number, since it uses less digits than its factorization.

135827242380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754595806 (or 754595801 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 135827242380 in words is "one hundred thirty-five billion, eight hundred twenty-seven million, two hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 754595791 1509191582 2263787373 3018383164 3772978955 4527574746 6791362119 7545957910 9055149492 11318936865 13582724238 15091915820 22637873730 27165448476 33956810595 45275747460 67913621190 135827242380