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12292281264 = 243271194463
BaseRepresentation
bin10110111001010110…
…10101001110110000
31011201200002120212110
423130223111032300
5200133311000024
65351430125320
7613420444464
oct133453251660
934650076773
1012292281264
11523874393a
1224707b0840
13120b88c213
148487824a4
154be257629
hex2dcad53b0

12292281264 has 40 divisors (see below), whose sum is σ = 31767109632. Its totient is φ = 4095872320.

The previous prime is 12292281259. The next prime is 12292281269. The reversal of 12292281264 is 46218229221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12292281259) and next prime (12292281269).

It is a super-2 number, since 2×122922812642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12292281269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82897 + ... + 177359.

Almost surely, 212292281264 is an apocalyptic number.

It is an amenable number.

12292281264 is an abundant number, since it is smaller than the sum of its proper divisors (19474828368).

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

12292281264 is a wasteful number, since it uses less digits than its factorization.

12292281264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97185 (or 97179 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 12292281264 in words is "twelve billion, two hundred ninety-two million, two hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2711 5422 8133 10844 16266 21688 32532 43376 65064 94463 130128 188926 283389 377852 566778 755704 1133556 1511408 2267112 4534224 256089193 512178386 768267579 1024356772 1536535158 2048713544 3073070316 4097427088 6146140632 12292281264