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27938315707643 = 1171171827208189
BaseRepresentation
bin1100101101000111001010…
…11000100010010011111011
310122220212200020222012000102
412112203211120202103323
512130220132310121033
6135230403545430015
75612322336142115
oct626434530422373
9118825606865012
1027938315707643
1189a1633959460
12317277149b30b
131278758510c03
146c83164903b5
15336b16798de8
hex1968e56224fb

27938315707643 has 16 divisors (see below), whose sum is σ = 30907760820480. Its totient is φ = 25040477901600.

The previous prime is 27938315707633. The next prime is 27938315707651. The reversal of 27938315707643 is 34670751383972.

It is a cyclic number.

It is not a de Polignac number, because 27938315707643 - 230 = 27937241965819 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27938315707643.

It is not an unprimeable number, because it can be changed into a prime (27938315707633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134092793 + ... + 134300981.

It is an arithmetic number, because the mean of its divisors is an integer number (1931735051280).

It is a 1-persistent number, because it is pandigital, but 2⋅27938315707643 = 55876631415286 is not.

Almost surely, 227938315707643 is an apocalyptic number.

27938315707643 is a deficient number, since it is larger than the sum of its proper divisors (2969445112837).

27938315707643 is a wasteful number, since it uses less digits than its factorization.

27938315707643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380098.

The product of its (nonzero) digits is 160030080, while the sum is 65.

The spelling of 27938315707643 in words is "twenty-seven trillion, nine hundred thirty-eight billion, three hundred fifteen million, seven hundred seven thousand, six hundred forty-three".

Divisors: 1 11 71 781 171827 208189 1890097 2290079 12199717 14781419 134196887 162595609 35772491303 393497404333 2539846882513 27938315707643