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27135374201 = 132593804989
BaseRepresentation
bin11001010001011001…
…001111001101111001
32121001002222211112022
4121101121033031321
5421033123433301
620244341124225
71650303606065
oct312131171571
977032884468
1027135374201
11105652362a1
1253136b9675
132735a5b550
141455c00aa5
15a8c3c5d1b
hex65164f379

27135374201 has 8 divisors (see below), whose sum is σ = 29234016840. Its totient is φ = 25038346752.

The previous prime is 27135374197. The next prime is 27135374213. The reversal of 27135374201 is 10247353172.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 27134325625 = 1024^2 + 164725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27135374201 - 22 = 27135374197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27135373201) 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 7 ways as a sum of consecutive naturals, for example, 368786 + ... + 436203.

It is an arithmetic number, because the mean of its divisors is an integer number (3654252105).

Almost surely, 227135374201 is an apocalyptic number.

It is an amenable number.

27135374201 is a deficient number, since it is larger than the sum of its proper divisors (2098642639).

27135374201 is a wasteful number, since it uses less digits than its factorization.

27135374201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807595.

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 27135374201 in words is "twenty-seven billion, one hundred thirty-five million, three hundred seventy-four thousand, two hundred one".

Divisors: 1 13 2593 33709 804989 10464857 2087336477 27135374201