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12705389696 = 27457217201
BaseRepresentation
bin10111101010100110…
…01101110010000000
31012210110102200002202
423311103031302000
5202010034432241
65500424332332
7626565013316
oct136523156200
935713380082
1012705389696
11542a95236a
1225670140a8
13127634018c
1488759a0b6
154e5659d9b
hex2f54cdc80

12705389696 has 32 divisors (see below), whose sum is σ = 25367021580. Its totient is φ = 6338764800.

The previous prime is 12705389677. The next prime is 12705389713. The reversal of 12705389696 is 69698350721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12335212096 + 370177600 = 111064^2 + 19240^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×127053896962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50105 + ... + 167096.

Almost surely, 212705389696 is an apocalyptic number.

12705389696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12705389696 is a deficient number, since it is larger than the sum of its proper divisors (12661631884).

12705389696 is an equidigital number, since it uses as much as digits as its factorization.

12705389696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217672 (or 217660 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 12705389696 in words is "twelve billion, seven hundred five million, three hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 457 914 1828 3656 7312 14624 29248 58496 217201 434402 868804 1737608 3475216 6950432 13900864 27801728 99260857 198521714 397043428 794086856 1588173712 3176347424 6352694848 12705389696