Search a number
-
+
271692180081 = 3272248212
BaseRepresentation
bin1111110100001000011…
…1011010101001110001
3221222021200202210001100
43331002013122221301
513422411144230311
6324451430155013
725425533266200
oct3750207325161
9858250683040
10271692180081
11a5251175203
12447a51b2a69
131c80b2058ca
14d215745237
1571023e1a56
hex3f421daa71

271692180081 has 27 divisors (see below), whose sum is σ = 456535185483. Its totient is φ = 155246419440.

The previous prime is 271692180061. The next prime is 271692180107. The reversal of 271692180081 is 180081296172.

The square root of 271692180081 is 521241.

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., 35554496481 + 236137683600 = 188559^2 + 485940^2 .

It is not a de Polignac number, because 271692180081 - 29 = 271692179569 is a prime.

It is a super-2 number, since 2×2716921800812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271692180061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10933651 + ... + 10958471.

Almost surely, 2271692180081 is an apocalyptic number.

271692180081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

271692180081 is the 521241-st square number.

271692180081 is the 260621-st centered octagonal number.

It is an amenable number.

271692180081 is a deficient number, since it is larger than the sum of its proper divisors (184843005402).

271692180081 is an frugal number, since it uses more digits than its factorization.

271692180081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49662 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 271692180081 in words is "two hundred seventy-one billion, six hundred ninety-two million, one hundred eighty thousand, eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 24821 74463 173747 223389 521241 1216229 1563723 3648687 10946061 616082041 1848246123 4312574287 5544738369 12937722861 30188020009 38813168583 90564060027 271692180081