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27038771201 = 13317723949
BaseRepresentation
bin11001001011101000…
…101110100000000001
32120210101012220010102
4121023220232200001
5420333411134301
620231010412145
71645021522511
oct311350564001
976711186112
1027038771201
1110515755002
1252a7291055
13271ba37000
141447055841
15a83b92b6b
hex64ba2e801

27038771201 has 16 divisors (see below), whose sum is σ = 31014018000. Its totient is φ = 23490664704.

The previous prime is 27038771197. The next prime is 27038771251. The reversal of 27038771201 is 10217783072.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21316000000 + 5722771201 = 146000^2 + 75649^2 .

It is not a de Polignac number, because 27038771201 - 22 = 27038771197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27038771251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324626 + ... + 399323.

It is an arithmetic number, because the mean of its divisors is an integer number (1938376125).

Almost surely, 227038771201 is an apocalyptic number.

It is an amenable number.

27038771201 is a deficient number, since it is larger than the sum of its proper divisors (3975246799).

27038771201 is an equidigital number, since it uses as much as digits as its factorization.

27038771201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724005 (or 723979 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 27038771201 in words is "twenty-seven billion, thirty-eight million, seven hundred seventy-one thousand, two hundred one".

Divisors: 1 13 17 169 221 2197 2873 37349 723949 9411337 12307133 122347381 159992729 1590515953 2079905477 27038771201