Search a number
-
+
271594210081 = 29311619186601
BaseRepresentation
bin1111110011110001000…
…1101100001100100001
3221222000212102101110211
43330330101230030201
513422211104210311
6324434010254121
725423233460315
oct3747421541441
9858025371424
10271594210081
11a520093a967
1244778427341
131c7c3b230ac
14d206721b45
1570e89dd821
hex3f3c46c321

271594210081 has 16 divisors (see below), whose sum is σ = 290203430400. Its totient is φ = 253611792000.

The previous prime is 271594210067. The next prime is 271594210087. The reversal of 271594210081 is 180012495172.

271594210081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-271594210081 is a prime.

It is a super-2 number, since 2×2715942100812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271594210087) 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 15 ways as a sum of consecutive naturals, for example, 1362181 + ... + 1548781.

It is an arithmetic number, because the mean of its divisors is an integer number (18137714400).

Almost surely, 2271594210081 is an apocalyptic number.

It is an amenable number.

271594210081 is a deficient number, since it is larger than the sum of its proper divisors (18609220319).

271594210081 is a wasteful number, since it uses less digits than its factorization.

271594210081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188280.

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 271594210081 in words is "two hundred seventy-one billion, five hundred ninety-four million, two hundred ten thousand, eighty-one".

Divisors: 1 29 31 899 1619 46951 50189 186601 1455481 5411429 5784631 167754299 302107019 8761103551 9365317589 271594210081