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135515444112 = 2432941079473
BaseRepresentation
bin111111000110101011…
…0011001001110010000
3110221210022012211120200
41332031112121032100
54210013423202422
6142131022135200
712535125161226
oct1761526311620
9427708184520
10135515444112
1152520a31a04
122231ba21500
13ca18765029
1467b7bc2b16
1537d21842ac
hex1f8d599390

135515444112 has 30 divisors (see below), whose sum is σ = 379255028022. Its totient is φ = 45171814656.

The previous prime is 135515444093. The next prime is 135515444149. The reversal of 135515444112 is 211444515531.

135515444112 is a `hidden beast` number, since 1 + 3 + 55 + 154 + 441 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82999305216 + 52516138896 = 288096^2 + 229164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 470539593 + ... + 470539880.

Almost surely, 2135515444112 is an apocalyptic number.

135515444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135515444112 is an abundant number, since it is smaller than the sum of its proper divisors (243739583910).

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

135515444112 is a wasteful number, since it uses less digits than its factorization.

135515444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941079487 (or 941079478 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 135515444112 its reverse (211444515531), we get a palindrome (346959959643).

The spelling of 135515444112 in words is "one hundred thirty-five billion, five hundred fifteen million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 941079473 1882158946 2823238419 3764317892 5646476838 7528635784 8469715257 11292953676 15057271568 16939430514 22585907352 33878861028 45171814704 67757722056 135515444112