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27074517012 = 22322777270821
BaseRepresentation
bin11001001101110001…
…000101100000010100
32120212212110222011100
4121031301011200110
5420422034021022
620234324510100
71645634411634
oct311561054024
976785428140
1027074517012
111053394a3a4
1252b724b330
13272627138a
14144babc6c4
15a86da41ac
hex64dc45814

27074517012 has 36 divisors (see below), whose sum is σ = 68463259956. Its totient is φ = 9021555840.

The previous prime is 27074516939. The next prime is 27074517013. The reversal of 27074517012 is 21071547072.

27074517012 is a `hidden beast` number, since 2 + 70 + 74 + 517 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3016645776 + 24057871236 = 54924^2 + 155106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27074517013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35439 + ... + 235382.

It is an arithmetic number, because the mean of its divisors is an integer number (1901757221).

Almost surely, 227074517012 is an apocalyptic number.

It is an amenable number.

27074517012 is an abundant number, since it is smaller than the sum of its proper divisors (41388742944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27074517012 is a wasteful number, since it uses less digits than its factorization.

27074517012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273608 (or 273603 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 27074517012 in words is "twenty-seven billion, seventy-four million, five hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2777 5554 8331 11108 16662 24993 33324 49986 99972 270821 541642 812463 1083284 1624926 2437389 3249852 4874778 9749556 752069917 1504139834 2256209751 3008279668 4512419502 6768629253 9024839004 13537258506 27074517012