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12166334240 = 255174472917
BaseRepresentation
bin10110101010010101…
…11000011100100000
31011101220002211000212
423111022320130200
5144404040143430
65331130433252
7610331064134
oct132512703440
934356084025
1012166334240
11518363aa95
122436592828
1311bb762458
14835b593c4
154b3179b95
hex2d52b8720

12166334240 has 48 divisors (see below), whose sum is σ = 30433734072. Its totient is φ = 4580265984.

The previous prime is 12166334237. The next prime is 12166334251. The reversal of 12166334240 is 4243366121.

It can be written as a sum of positive squares in 4 ways, for example, as 8851799056 + 3314535184 = 94084^2 + 57572^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12166334197 and 12166334206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233739 + ... + 2239178.

Almost surely, 212166334240 is an apocalyptic number.

12166334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12166334240 is an abundant number, since it is smaller than the sum of its proper divisors (18267399832).

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

12166334240 is a wasteful number, since it uses less digits than its factorization.

12166334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472949 (or 4472941 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 12166334240 in words is "twelve billion, one hundred sixty-six million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4472917 8945834 17891668 22364585 35783336 44729170 71566672 76039589 89458340 143133344 152079178 178916680 304158356 357833360 380197945 608316712 715666720 760395890 1216633424 1520791780 2433266848 3041583560 6083167120 12166334240