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89319092769 = 36110692
BaseRepresentation
bin101001100101111010…
…1010011001000100001
322112112210122001000000
41103023311103020201
52430411141432034
6105011014050213
76311260522164
oct1231365231041
9275483561000
1089319092769
1134975332445
1215388949969
138565a393aa
1444746d3adb
1524cb6cb599
hex14cbd53221

89319092769 has 21 divisors (see below), whose sum is σ = 133929477283. Its totient is φ = 59540682312.

The previous prime is 89319092749. The next prime is 89319092801. The reversal of 89319092769 is 96729091398.

It is a happy number.

The square root of 89319092769 is 298863.

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

It can be written as a sum of positive squares in only one way, i.e., 8333316369 + 80985776400 = 91287^2 + 284580^2 .

It is not a de Polignac number, because 89319092769 - 219 = 89318568481 is a prime.

It is a super-2 number, since 2×893190927692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89319092749) 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 20 ways as a sum of consecutive naturals, for example, 8063767 + ... + 8074835.

Almost surely, 289319092769 is an apocalyptic number.

89319092769 is the 298863-rd square number.

89319092769 is the 149432-nd centered octagonal number.

It is an amenable number.

89319092769 is a deficient number, since it is larger than the sum of its proper divisors (44610384514).

89319092769 is an frugal number, since it uses more digits than its factorization.

89319092769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22156 (or 11072 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 89319092769 in words is "eighty-nine billion, three hundred nineteen million, ninety-two thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 11069 33207 99621 298863 896589 2689767 8069301 122522761 367568283 1102704849 3308114547 9924343641 29773030923 89319092769