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12270347072 = 26433442781
BaseRepresentation
bin10110110110101111…
…01010001101000000
31011200010211012210222
423123113222031000
5200112202101242
65345324042212
7613033141424
oct133327521500
934603735728
1012270347072
115227322405
122465393368
13120717c5c9
148458b2b84
154bc3735d2
hex2db5ea340

12270347072 has 28 divisors (see below), whose sum is σ = 24405258276. Its totient is φ = 6120990720.

The previous prime is 12270347069. The next prime is 12270347077. The reversal of 12270347072 is 27074307221.

12270347072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 394578496 + 11875768576 = 19864^2 + 108976^2 .

It is a super-2 number, since 2×122703470722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270347077) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 193679 + ... + 249102.

It is an arithmetic number, because the mean of its divisors is an integer number (871616367).

Almost surely, 212270347072 is an apocalyptic number.

It is an amenable number.

12270347072 is a deficient number, since it is larger than the sum of its proper divisors (12134911204).

12270347072 is an equidigital number, since it uses as much as digits as its factorization.

12270347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443226 (or 443216 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 12270347072 in words is "twelve billion, two hundred seventy million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 433 866 1732 3464 6928 13856 27712 442781 885562 1771124 3542248 7084496 14168992 28337984 191724173 383448346 766896692 1533793384 3067586768 6135173536 12270347072