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27260134031 = 1365914892137
BaseRepresentation
bin11001011000110101…
…001010001010001111
32121100210202021211202
4121120311022022033
5421312043242111
620304555140115
71653350213264
oct313065121217
977323667752
1027260134031
11106196a9199
12534944463b
132755860b30
1414685d926b
15a9831bb3b
hex658d4a28f

27260134031 has 16 divisors (see below), whose sum is σ = 29435128800. Its totient is φ = 25096393728.

The previous prime is 27260134019. The next prime is 27260134051. The reversal of 27260134031 is 13043106272.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27260134031 is a prime.

It is a super-2 number, since 2×272601340312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27260133985 and 27260134003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27260134051) 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 15 ways as a sum of consecutive naturals, for example, 12755195 + ... + 12757331.

It is an arithmetic number, because the mean of its divisors is an integer number (1839695550).

Almost surely, 227260134031 is an apocalyptic number.

27260134031 is a deficient number, since it is larger than the sum of its proper divisors (2174994769).

27260134031 is a wasteful number, since it uses less digits than its factorization.

27260134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 27260134031 in words is "twenty-seven billion, two hundred sixty million, one hundred thirty-four thousand, thirty-one".

Divisors: 1 13 659 1489 2137 8567 19357 27781 981251 1408283 3181993 12756263 18307679 41365909 2096933387 27260134031