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12134771136 = 2633291032351
BaseRepresentation
bin10110100110100100…
…11110100111000000
31011022200201020121000
423103102132213000
5144323000134021
65324042132000
7606465565335
oct132322364700
934280636530
1012134771136
115167842184
122427ab1000
1311b5060b67
148318a098c
154b04e2b26
hex2d349e9c0

12134771136 has 224 divisors, whose sum is σ = 37278259200. Its totient is φ = 3865881600.

The previous prime is 12134771123. The next prime is 12134771141. The reversal of 12134771136 is 63117743121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12134771136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5160361 + ... + 5162711.

It is an arithmetic number, because the mean of its divisors is an integer number (166420800).

Almost surely, 212134771136 is an apocalyptic number.

12134771136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

12134771136 is an abundant number, since it is smaller than the sum of its proper divisors (25143488064).

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

12134771136 is a wasteful number, since it uses less digits than its factorization.

12134771136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 12134771136 in words is "twelve billion, one hundred thirty-four million, seven hundred seventy-one thousand, one hundred thirty-six".