Search a number
-
+
269351658081 = 32112157272
BaseRepresentation
bin1111101011011010011…
…1000010001001100001
3221202020120122221110100
43322312213002021201
513403113011024311
6323423300453013
725313533213662
oct3726647021141
9852216587410
10269351658081
11a425aa97400
12442513aa169
131c52734344c
14d072969369
157016bb8a56
hex3eb69c2261

269351658081 has 27 divisors (see below), whose sum is σ = 427675510353. Its totient is φ = 163233049320.

The previous prime is 269351658047. The next prime is 269351658131. The reversal of 269351658081 is 180856153962.

The square root of 269351658081 is 518991.

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

269351658081 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 51 + 6 + 580 + 8 + 1 = 666.

269351658081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 269351658081 - 29 = 269351657569 is a prime.

It is a super-2 number, since 2×2693516580812 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (269351656081) 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 26 ways as a sum of consecutive naturals, for example, 17118840 + ... + 17134566.

Almost surely, 2269351658081 is an apocalyptic number.

269351658081 is the 518991-st square number.

269351658081 is the 259496-th centered octagonal number.

It is an amenable number.

269351658081 is a deficient number, since it is larger than the sum of its proper divisors (158323852272).

269351658081 is an frugal number, since it uses more digits than its factorization.

269351658081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31482 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 269351658081 in words is "two hundred sixty-nine billion, three hundred fifty-one million, six hundred fifty-eight thousand, eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 15727 47181 141543 172997 518991 1556973 1902967 5708901 17126703 247338529 742015587 2226046761 2720723819 8162171457 24486514371 29927962009 89783886027 269351658081