Search a number
-
+
19886614032481 = 74910092
BaseRepresentation
bin1001000010110001101101…
…00100001011000001100001
32121102010211022202120001021
410201120312210023001201
510101310241143014411
6110143441231205441
74121521556140000
oct441306644130141
977363738676037
1019886614032481
1163779581a6469
1222921aa976881
13b133b8465171
144ca7354c0c37
1524746a8a8a71
hex12163690b061

19886614032481 has 15 divisors (see below), whose sum is σ = 23199924183891. Its totient is φ = 17045481874176.

The previous prime is 19886614032457. The next prime is 19886614032503. The reversal of 19886614032481 is 18423041668891.

The square root of 19886614032481 is 4459441.

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., 4688779598881 + 15197834433600 = 2165359^2 + 3898440^2 .

It is not a de Polignac number, because 19886614032481 - 25 = 19886614032449 is a prime.

It is a super-2 number, since 2×198866140324812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19886614032421) 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 14 ways as a sum of consecutive naturals, for example, 218467105 + ... + 218558113.

Almost surely, 219886614032481 is an apocalyptic number.

19886614032481 is the 4459441-st square number.

19886614032481 is the 2229721-st centered octagonal number.

It is an amenable number.

19886614032481 is a deficient number, since it is larger than the sum of its proper divisors (3313310151410).

19886614032481 is an frugal number, since it uses more digits than its factorization.

19886614032481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182046 (or 91016 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 19886614032481 in words is "nineteen trillion, eight hundred eighty-six billion, six hundred fourteen million, thirty-two thousand, four hundred eighty-one".

Divisors: 1 7 49 343 2401 91009 637063 4459441 31216087 218512609 8282638081 57978466567 405849265969 2840944861783 19886614032481