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116269406289 = 367321732
BaseRepresentation
bin110110001001000110…
…0100101100001010001
3102010010000101211000000
41230102030211201101
53401104432000124
6125225144520213
711254156434621
oct1542214454121
9363100354000
10116269406289
1145345059923
121a64a480069
13ac6c34147a
1458adac0881
1530576e96c9
hex1b12325851

116269406289 has 63 divisors (see below), whose sum is σ = 177772634337. Its totient is φ = 76009202496.

The previous prime is 116269406269. The next prime is 116269406327. The reversal of 116269406289 is 982604962611.

The square root of 116269406289 is 340983.

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

116269406289 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 9 + 4 + 0 + 628 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31553482689 + 84715923600 = 177633^2 + 291060^2 .

It is not a de Polignac number, because 116269406289 - 211 = 116269404241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116269406269) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 672077407 + ... + 672077579.

Almost surely, 2116269406289 is an apocalyptic number.

116269406289 is the 340983-rd square number.

116269406289 is the 170492-nd centered octagonal number.

It is an amenable number.

116269406289 is a deficient number, since it is larger than the sum of its proper divisors (61503228048).

116269406289 is an frugal number, since it uses more digits than its factorization.

116269406289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 116269406289 in words is "one hundred sixteen billion, two hundred sixty-nine million, four hundred six thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 73 81 173 219 243 519 657 729 1557 1971 4671 5329 5913 12629 14013 15987 17739 29929 37887 42039 47961 53217 89787 113661 126117 143883 269361 340983 431649 808083 921917 1022949 1294947 2184817 2424249 2765751 3068847 3884841 6554451 7272747 8297253 9206541 19663353 21818241 24891759 58990059 74675277 159491641 176970177 224025831 478474923 530910531 672077493 1435424769 1592731593 4306274307 12918822921 38756468763 116269406289