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27861121541 = 1129591480321
BaseRepresentation
bin11001111100101001…
…101111101000000101
32122220200121121201102
4121330221233220011
5424024421342131
620444344305445
72004265424411
oct317451575005
978820547642
1027861121541
11108a7970a90
125496772285
132820214046
1414c435bd41
15ad0e821cb
hex67ca6fa05

27861121541 has 16 divisors (see below), whose sum is σ = 31974955200. Its totient is φ = 24040396800.

The previous prime is 27861121531. The next prime is 27861121543. The reversal of 27861121541 is 14512116872.

It is not a de Polignac number, because 27861121541 - 210 = 27861120517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27861121495 and 27861121504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27861121543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721340 + ... + 758981.

It is an arithmetic number, because the mean of its divisors is an integer number (1998434700).

Almost surely, 227861121541 is an apocalyptic number.

It is an amenable number.

27861121541 is a deficient number, since it is larger than the sum of its proper divisors (4113833659).

27861121541 is a wasteful number, since it uses less digits than its factorization.

27861121541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480420.

The product of its digits is 26880, while the sum is 38.

The spelling of 27861121541 in words is "twenty-seven billion, eight hundred sixty-one million, one hundred twenty-one thousand, five hundred forty-one".

Divisors: 1 11 29 59 319 649 1711 18821 1480321 16283531 42929309 87338939 472222399 960728329 2532829231 27861121541