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12136106896 = 24275412
BaseRepresentation
bin10110100110101111…
…00100101110010000
31011022210020002220121
423103113210232100
5144323320410041
65324130520024
7606513130564
oct132327445620
934283202817
1012136106896
115168574811
122428436014
1311b540ab54
14831b2b6a4
154b06a87d1
hex2d35e4b90

12136106896 has 15 divisors (see below), whose sum is σ = 23514560913. Its totient is φ = 6067833120.

The previous prime is 12136106881. The next prime is 12136106921. The reversal of 12136106896 is 69860163121.

The square root of 12136106896 is 110164.

It is a perfect power (a square), and thus also a powerful number.

12136106896 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 only one way, i.e., 4877066896 + 7259040000 = 69836^2 + 85200^2 .

It is a super-2 number, since 2×121361068962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 426886 + ... + 454426.

Almost surely, 212136106896 is an apocalyptic number.

12136106896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12136106896 is the 110164-th square number.

It is an amenable number.

12136106896 is a deficient number, since it is larger than the sum of its proper divisors (11378454017).

12136106896 is an frugal number, since it uses more digits than its factorization.

12136106896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55090 (or 27543 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 12136106896 in words is "twelve billion, one hundred thirty-six million, one hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 27541 55082 110164 220328 440656 758506681 1517013362 3034026724 6068053448 12136106896