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1380728627201 = 72112561648659
BaseRepresentation
bin10100000101111001110…
…101101110000000000001
311212222220100111121211202
4110011321311232000001
5140110213012032301
62534144210150545
7201516512454500
oct24057165560001
94788810447752
101380728627201
11492622350710
121a3717282455
13a02821827c1
144ab82dd0837
1525db136d66b
hex14179d6e001

1380728627201 has 12 divisors (see below), whose sum is σ = 1752167683440. Its totient is φ = 1075892436360.

The previous prime is 1380728627107. The next prime is 1380728627219. The reversal of 1380728627201 is 1027268270831.

It is not a de Polignac number, because 1380728627201 - 226 = 1380661518337 is a prime.

It is a super-4 number, since 4×13807286272014 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1380728627251) 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 11 ways as a sum of consecutive naturals, for example, 1280823791 + ... + 1280824868.

It is an arithmetic number, because the mean of its divisors is an integer number (146013973620).

Almost surely, 21380728627201 is an apocalyptic number.

1380728627201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1380728627201 is a deficient number, since it is larger than the sum of its proper divisors (371439056239).

1380728627201 is a wasteful number, since it uses less digits than its factorization.

1380728627201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561648684 (or 2561648677 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 1380728627201 in words is "one trillion, three hundred eighty billion, seven hundred twenty-eight million, six hundred twenty-seven thousand, two hundred one".

Divisors: 1 7 11 49 77 539 2561648659 17931540613 28178135249 125520784291 197246946743 1380728627201