Search a number
-
+
193268134172281 = 721921045272
BaseRepresentation
bin101011111100011010111110…
…011110111101011001111001
3221100022020211120102100002211
4223330122332132331121321
5200313001114322003111
61523014053301455121
755465106351025100
oct5374327636753171
9840266746370084
10193268134172281
11566436122832a3
12198147ab1114a1
1383ac15099c5bc
1435a2328795037
151752533717521
hexafc6be7bd679

193268134172281 has 27 divisors (see below), whose sum is σ = 237279904147269. Its totient is φ = 156938036097528.

The previous prime is 193268134172251. The next prime is 193268134172287. The reversal of 193268134172281 is 182271431862391.

The square root of 193268134172281 is 13902091.

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

It is not a de Polignac number, because 193268134172281 - 225 = 193268100617849 is a prime.

It is a super-2 number, since 2×1932681341722812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193268134172287) 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, 1848925840 + ... + 1849030366.

It is an arithmetic number, because the mean of its divisors is an integer number (8788144598047).

Almost surely, 2193268134172281 is an apocalyptic number.

193268134172281 is the 13902091-st square number.

193268134172281 is the 6951046-th centered octagonal number.

It is an amenable number.

193268134172281 is a deficient number, since it is larger than the sum of its proper divisors (44011769974988).

193268134172281 is an frugal number, since it uses more digits than its factorization.

193268134172281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209106 (or 104553 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The spelling of 193268134172281 in words is "one hundred ninety-three trillion, two hundred sixty-eight billion, one hundred thirty-four million, one hundred seventy-two thousand, two hundred eighty-one".

Divisors: 1 7 19 49 133 361 931 2527 17689 104527 731689 1986013 5121823 13902091 37734247 97314637 264139729 1848978103 10925893729 76481256103 207591980851 535368792721 1453143865957 3944247636169 10172007061699 27609733453183 193268134172281