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12136446234 = 2321117291011231
BaseRepresentation
bin10110100110110001…
…10111100100011010
31011022210212100101200
423103120313210122
5144323412234414
65324142055030
7606516043113
oct132330674432
934283770350
1012136446234
115168786760
12242857a476
1311b54c9443
14831bb920a
154b0724109
hex2d363791a

12136446234 has 192 divisors, whose sum is σ = 31757806080. Its totient is φ = 3306240000.

The previous prime is 12136446229. The next prime is 12136446253. The reversal of 12136446234 is 43264463121.

12136446234 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 644 + 6 + 2 + 3 + 4 = 666.

It is a super-3 number, since 3×121364462343 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9858399 + ... + 9859629.

It is an arithmetic number, because the mean of its divisors is an integer number (165405240).

Almost surely, 212136446234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136446234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878903040).

12136446234 is an abundant number, since it is smaller than the sum of its proper divisors (19621359846).

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

12136446234 is a wasteful number, since it uses less digits than its factorization.

12136446234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1394 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12136446234 in words is "twelve billion, one hundred thirty-six million, four hundred forty-six thousand, two hundred thirty-four".