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27147106053 = 323790292
BaseRepresentation
bin11001010010000101…
…111111011100000101
32121001221001212121100
4121102011333130011
5421044124343203
620245440410313
71650505410534
oct312205773405
977057055540
1027147106053
1110570919641
125317616999
132738308482
1414575b631b
15a8d441ea3
hex65217f705

27147106053 has 18 divisors (see below), whose sum is σ = 40276744274. Its totient is φ = 17606983392.

The previous prime is 27147106039. The next prime is 27147106067. The reversal of 27147106053 is 35060174172.

It is a happy number.

27147106053 is a `hidden beast` number, since 2 + 7 + 1 + 47 + 1 + 0 + 605 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (27147106039) and next prime (27147106067).

It can be written as a sum of positive squares in 3 ways, for example, as 25997692644 + 1149413409 = 161238^2 + 33903^2 .

It is not a de Polignac number, because 27147106053 - 26 = 27147105989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27147105999 and 27147106017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27147106003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3002143 + ... + 3011171.

Almost surely, 227147106053 is an apocalyptic number.

It is an amenable number.

27147106053 is a deficient number, since it is larger than the sum of its proper divisors (13129638221).

27147106053 is an frugal number, since it uses more digits than its factorization.

27147106053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18101 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27147106053 in words is "twenty-seven billion, one hundred forty-seven million, one hundred six thousand, fifty-three".

Divisors: 1 3 9 37 111 333 9029 27087 81261 334073 1002219 3006657 81522841 244568523 733705569 3016345117 9049035351 27147106053