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12072436542 = 2321739452407
BaseRepresentation
bin10110011111001001…
…01100001100111110
31011011100102022121100
423033210230030332
5144211020432132
65313534113530
7605111005665
oct131744541476
934140368540
1012072436542
115135637291
12240b04b8a6
1311a517739a
148274b5ddc
154a9ccd37c
hex2cf92c33e

12072436542 has 24 divisors (see below), whose sum is σ = 27695590416. Its totient is φ = 3787430976.

The previous prime is 12072436483. The next prime is 12072436589. The reversal of 12072436542 is 24563427021.

12072436542 is a `hidden beast` number, since 1 + 2 + 0 + 72 + 43 + 6 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12072436497 and 12072436506.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19725898 + ... + 19726509.

It is an arithmetic number, because the mean of its divisors is an integer number (1153982934).

Almost surely, 212072436542 is an apocalyptic number.

12072436542 is an abundant number, since it is smaller than the sum of its proper divisors (15623153874).

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

12072436542 is a wasteful number, since it uses less digits than its factorization.

12072436542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39452432 (or 39452429 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 12072436542 in words is "twelve billion, seventy-two million, four hundred thirty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 39452407 78904814 118357221 236714442 355071663 670690919 710143326 1341381838 2012072757 4024145514 6036218271 12072436542