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12789713646 = 233972441717
BaseRepresentation
bin10111110100101001…
…11000101011101110
31020000100002202211000
423322110320223232
5202143131314041
65513035541130
7631640525613
oct137224705356
936010082730
1012789713646
115473507186
12258b2ba7a6
13128a9556c8
1489486a50a
154ecc64bb6
hex2fa538aee

12789713646 has 32 divisors (see below), whose sum is σ = 28714603680. Its totient is φ = 4219285248.

The previous prime is 12789713633. The next prime is 12789713647. The reversal of 12789713646 is 64631798721.

12789713646 is a `hidden beast` number, since 1 + 278 + 9 + 7 + 1 + 364 + 6 = 666.

It is a super-2 number, since 2×127897136462 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12789713592 and 12789713601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12789713647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215621 + ... + 1226096.

It is an arithmetic number, because the mean of its divisors is an integer number (897331365).

Almost surely, 212789713646 is an apocalyptic number.

12789713646 is an abundant number, since it is smaller than the sum of its proper divisors (15924890034).

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

12789713646 is a wasteful number, since it uses less digits than its factorization.

12789713646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441825 (or 2441819 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 12789713646 in words is "twelve billion, seven hundred eighty-nine million, seven hundred thirteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 2441717 4883434 7325151 14650302 21975453 43950906 65926359 131852718 236846549 473693098 710539647 1421079294 2131618941 4263237882 6394856823 12789713646