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106442442447 = 31121915433151
BaseRepresentation
bin110001100100001110…
…1101100011011001111
3101011202011020022212020
41203020131230123033
53220443231124242
6120522102541223
710455512555355
oct1431035543317
9334664208766
10106442442447
1141161a90500
1218767437813
13a06445a273
14521a9217d5
152b7eb1b6ec
hex18c876c6cf

106442442447 has 24 divisors (see below), whose sum is σ = 164208737280. Its totient is φ = 61115274000.

The previous prime is 106442442419. The next prime is 106442442467. The reversal of 106442442447 is 744244244601.

It is a happy number.

It is not a de Polignac number, because 106442442447 - 26 = 106442442383 is a prime.

It is a super-2 number, since 2×1064424424472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106442442399 and 106442442408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106442442467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7709679 + ... + 7723472.

It is an arithmetic number, because the mean of its divisors is an integer number (6842030720).

Almost surely, 2106442442447 is an apocalyptic number.

106442442447 is a deficient number, since it is larger than the sum of its proper divisors (57766294833).

106442442447 is a wasteful number, since it uses less digits than its factorization.

106442442447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15433195 (or 15433184 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The spelling of 106442442447 in words is "one hundred six billion, four hundred forty-two million, four hundred forty-two thousand, four hundred forty-seven".

Divisors: 1 3 11 19 33 57 121 209 363 627 2299 6897 15433151 46299453 169764661 293229869 509293983 879689607 1867411271 3225528559 5602233813 9676585677 35480814149 106442442447