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27912050761 = 722928232
BaseRepresentation
bin11001111111101100…
…000001100001001001
32200001020110002110211
4121333230001201021
5424130441111021
620453404041121
72005454342200
oct317754014111
980036402424
1027912050761
1110923696951
1254ab8331a1
13282a93638a
1414cb018237
15ad56923e1
hex67fb01849

27912050761 has 27 divisors (see below), whose sum is σ = 33668261991. Its totient is φ = 23071560624.

The previous prime is 27912050759. The next prime is 27912050767. The reversal of 27912050761 is 16705021972.

The square root of 27912050761 is 167069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14636402361 + 13275648400 = 120981^2 + 115220^2 .

It is not a de Polignac number, because 27912050761 - 21 = 27912050759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27912050767) 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 26 ways as a sum of consecutive naturals, for example, 33914596 + ... + 33915418.

Almost surely, 227912050761 is an apocalyptic number.

27912050761 is the 167069-th square number.

27912050761 is the 83535-th centered octagonal number.

It is an amenable number.

27912050761 is a deficient number, since it is larger than the sum of its proper divisors (5756211230).

27912050761 is an frugal number, since it uses more digits than its factorization.

27912050761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 27912050761 in words is "twenty-seven billion, nine hundred twelve million, fifty thousand, seven hundred sixty-one".

Divisors: 1 7 29 49 203 823 841 1421 5761 5887 23867 40327 41209 167069 677329 692143 1169483 4741303 4845001 19642541 33189121 33915007 137497787 569633689 962484509 3987435823 27912050761