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1348280028135 = 32541730775083
BaseRepresentation
bin10011100111101011110…
…000001000101111100111
311202220010221202000000100
4103213223300020233213
5134042234141400020
62511220304115143
7166260431101035
oct23475360105747
94686127660010
101348280028135
1147a890a20997
12199380305ab3
139a1b0717221
14493856b5555
15251127bda90
hex139ebc08be7

1348280028135 has 24 divisors (see below), whose sum is σ = 2394019175184. Its totient is φ = 701544078720.

The previous prime is 1348280028133. The next prime is 1348280028167. The reversal of 1348280028135 is 5318200828431.

1348280028135 is a `hidden beast` number, since 1 + 348 + 28 + 0 + 0 + 281 + 3 + 5 = 666.

It is not a de Polignac number, because 1348280028135 - 21 = 1348280028133 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348280028131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 365385697 + ... + 365389386.

It is an arithmetic number, because the mean of its divisors is an integer number (99750798966).

Almost surely, 21348280028135 is an apocalyptic number.

1348280028135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1348280028135 is a deficient number, since it is larger than the sum of its proper divisors (1045739147049).

1348280028135 is a wasteful number, since it uses less digits than its factorization.

1348280028135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730775135 (or 730775132 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1348280028135 in words is "one trillion, three hundred forty-eight billion, two hundred eighty million, twenty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 730775083 2192325249 3653875415 6576975747 10961626245 29961778403 32884878735 89885335209 149808892015 269656005627 449426676045 1348280028135