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311997093489 = 3453211712
BaseRepresentation
bin1001000101001000111…
…10011101011001110001
31002211022121120112010000
410202210132131121301
520102432223442424
6355155100300213
731353402352314
oct4424436353161
91084277515100
10311997093489
111103542531a4
1250573241669
13235624b64b3
141115a60497b
1581b0a583c9
hex48a479d671

311997093489 has 45 divisors (see below), whose sum is σ = 475435428699. Its totient is φ = 203899297680.

The previous prime is 311997093409. The next prime is 311997093493. The reversal of 311997093489 is 984390799113.

The square root of 311997093489 is 558567.

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

311997093489 is a `hidden beast` number, since 31 + 199 + 70 + 9 + 348 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224917805025 + 87079288464 = 474255^2 + 295092^2 .

It is not a de Polignac number, because 311997093489 - 27 = 311997093361 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311997093409) 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 44 ways as a sum of consecutive naturals, for example, 266435874 + ... + 266437044.

Almost surely, 2311997093489 is an apocalyptic number.

311997093489 is the 558567-th square number.

311997093489 is the 279284-th centered octagonal number.

It is an amenable number.

311997093489 is a deficient number, since it is larger than the sum of its proper divisors (163438335210).

311997093489 is an frugal number, since it uses more digits than its factorization.

311997093489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1227 counting only the distinct ones).

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

The spelling of 311997093489 in words is "three hundred eleven billion, nine hundred ninety-seven million, ninety-three thousand, four hundred eighty-nine".

Divisors: 1 3 9 27 53 81 159 477 1171 1431 2809 3513 4293 8427 10539 25281 31617 62063 75843 94851 186189 227529 558567 1371241 1675701 3289339 4113723 5027103 9868017 12341169 29604051 37023507 72675773 88812153 111070521 218027319 266436459 654081957 1962245871 3851815969 5886737613 11555447907 34666343721 103999031163 311997093489