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81110470401 = 32949332
BaseRepresentation
bin100101110001010001…
…1111000111100000001
321202100201122211000100
41023202203320330001
52312103240023101
6101132302513013
75600664423432
oct1134243707401
9252321584010
1081110470401
1131442822a14
1213877895769
1378582104ac
143cd6441489
15219ac21e86
hex12e28f8f01

81110470401 has 9 divisors (see below), whose sum is σ = 117160802499. Its totient is φ = 54073077336.

The previous prime is 81110470369. The next prime is 81110470411. The reversal of 81110470401 is 10407401118.

The square root of 81110470401 is 284799.

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

81110470401 is a `hidden beast` number, since 81 + 110 + 4 + 70 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59758247025 + 21352223376 = 244455^2 + 146124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 81110470401 - 25 = 81110470369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81110470411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 806931 + ... + 901863.

Almost surely, 281110470401 is an apocalyptic number.

81110470401 is the 284799-th square number.

81110470401 is the 142400-th centered octagonal number.

It is an amenable number.

81110470401 is a deficient number, since it is larger than the sum of its proper divisors (36050332098).

81110470401 is an frugal number, since it uses more digits than its factorization.

81110470401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189872 (or 94936 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 81110470401 its reverse (10407401118), we get a palindrome (91517871519).

The spelling of 81110470401 in words is "eighty-one billion, one hundred ten million, four hundred seventy thousand, four hundred one".

Divisors: 1 3 9 94933 284799 854397 9012274489 27036823467 81110470401