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12072667568 = 2413523711083
BaseRepresentation
bin10110011111001011…
…00100100110110000
31011011100212001111212
423033211210212300
5144211100330233
65313543055252
7605112660353
oct131745444660
934140761455
1012072667568
115135784915
12240b141528
1311a52285a0
1482753629a
154a9d26a48
hex2cf9649b0

12072667568 has 40 divisors (see below), whose sum is σ = 25197168528. Its totient is φ = 5570433792.

The previous prime is 12072667517. The next prime is 12072667613. The reversal of 12072667568 is 86576627021.

12072667568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083755 + ... + 1094837.

Almost surely, 212072667568 is an apocalyptic number.

It is an amenable number.

12072667568 is an abundant number, since it is smaller than the sum of its proper divisors (13124500960).

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

12072667568 is a wasteful number, since it uses less digits than its factorization.

12072667568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16341 (or 16335 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 12072667568 in words is "twelve billion, seventy-two million, six hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 5237 10474 11083 20948 22166 41896 44332 68081 83792 88664 136162 144079 177328 272324 288158 544648 576316 1089296 1152632 2305264 58041671 116083342 232166684 464333368 754541723 928666736 1509083446 3018166892 6036333784 12072667568