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27999805853825 = 5213809106493509
BaseRepresentation
bin1100101110111001101100…
…11110110101000010000001
310200010202101121112021000222
412113130312132311002001
512132222100244310300
6135314533324552425
75616630201564251
oct627346636650201
9120122347467028
1027999805853825
118a157184a6393
1231826723b2715
1312814a78c01b0
146cb2aabdd961
15338514c4b785
hex1977367b5081

27999805853825 has 24 divisors (see below), whose sum is σ = 37436728505400. Its totient is φ = 20651221071360.

The previous prime is 27999805853693. The next prime is 27999805853843. The reversal of 27999805853825 is 52835850899972.

It can be written as a sum of positive squares in 12 ways, for example, as 3180986395024 + 24818819458801 = 1783532^2 + 4981849^2 .

It is not a de Polignac number, because 27999805853825 - 210 = 27999805852801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27999805853825.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52983830 + ... + 53509679.

It is an arithmetic number, because the mean of its divisors is an integer number (1559863687725).

Almost surely, 227999805853825 is an apocalyptic number.

27999805853825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27999805853825 is a deficient number, since it is larger than the sum of its proper divisors (9436922651575).

27999805853825 is a wasteful number, since it uses less digits than its factorization.

27999805853825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106494341 (or 106494336 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 80.

The spelling of 27999805853825 in words is "twenty-seven trillion, nine hundred ninety-nine billion, eight hundred five million, eight hundred fifty-three thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 809 4045 10517 20225 52585 262925 106493509 532467545 1384415617 2662337725 6922078085 34610390425 86153248781 430766243905 1119992234153 2153831219525 5599961170765 27999805853825