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27214770961 = 72235672
BaseRepresentation
bin11001010110001000…
…000111001100010001
32121020122101121102001
4121112020013030101
5421213440132321
620300254554001
71652256510400
oct312610071421
977218347361
1027214770961
11105a6035254
125336208901
13274933a191
14146258b637
15a9435ac91
hex656207311

27214770961 has 9 divisors (see below), whose sum is σ = 31659342249. Its totient is φ = 23325956724.

The previous prime is 27214770949. The next prime is 27214770971. The reversal of 27214770961 is 16907741272.

The square root of 27214770961 is 164969.

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

It is not a de Polignac number, because 27214770961 - 213 = 27214762769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27214770971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1143000 + ... + 1166566.

Almost surely, 227214770961 is an apocalyptic number.

27214770961 is the 164969-th square number.

27214770961 is the 82485-th centered octagonal number.

It is an amenable number.

27214770961 is a deficient number, since it is larger than the sum of its proper divisors (4444571288).

27214770961 is an frugal number, since it uses more digits than its factorization.

27214770961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47148 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 27214770961 in words is "twenty-seven billion, two hundred fourteen million, seven hundred seventy thousand, nine hundred sixty-one".

Divisors: 1 7 49 23567 164969 1154783 555403489 3887824423 27214770961