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116246284007049 = 3472172100672
BaseRepresentation
bin11010011011100110110010…
…011101101111011010001001
3120020121000222101220012010000
4122123212302131233122021
5110214034342201211144
61051122450003513213
733325342166534100
oct3233466235573211
9506530871805100
10116246284007049
1134048854873339
1211055385388809
134cb2c92889c31
14209c4c8bdb037
15d68c7513e769
hex69b9b276f689

116246284007049 has 135 divisors (see below), whose sum is σ = 214606010546103. Its totient is φ = 62512799594112.

The previous prime is 116246284007027. The next prime is 116246284007081. The reversal of 116246284007049 is 940700482642611.

The square root of 116246284007049 is 10781757.

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

116246284007049 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 628 + 4 + 0 + 0 + 7 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90503162289225 + 25743121717824 = 9513315^2 + 5073768^2 .

It is not a de Polignac number, because 116246284007049 - 221 = 116246281909897 is a prime.

It is a super-2 number, since 2×1162462840070492 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116246284006986 and 116246284007004.

It is not an unprimeable number, because it can be changed into a prime (116246284007089) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11547256714 + ... + 11547266780.

Almost surely, 2116246284007049 is an apocalyptic number.

116246284007049 is the 10781757-th square number.

116246284007049 is the 5390879-th centered octagonal number.

It is an amenable number.

116246284007049 is a deficient number, since it is larger than the sum of its proper divisors (98359726539054).

116246284007049 is an frugal number, since it uses more digits than its factorization.

116246284007049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 116246284007049 in words is "one hundred sixteen trillion, two hundred forty-six billion, two hundred eighty-four million, seven thousand, forty-nine".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 289 357 441 459 567 833 867 1071 1323 1377 2023 2499 2601 3213 3969 6069 7497 7803 9639 10067 14161 18207 22491 23409 30201 42483 54621 67473 70469 90603 127449 163863 171139 211407 271809 382347 493283 513417 634221 815427 1147041 1197973 1479849 1540251 1902663 2909363 3593919 4439547 4620753 5707989 8385811 8728089 10781757 13318641 13862259 20365541 25157433 26184267 32345271 39955923 61096623 75472299 78552801 97035813 101344489 142558787 183289869 226416897 235658403 304033467 427676361 549869607 679250691 709411423 912100401 1283029083 1649608821 1722856313 2128234269 2736301203 3849087249 4965879961 5168568939 6384702807 8208903609 11547261747 12059994191 14897639883 15505706817 19154108421 29288557321 36179982573 44692919649 46517120451 57462325263 84419959337 87865671963 108539947719 134078758947 139551361353 205019901247 253259878011 263597015889 325619843157 402236276841 615059703741 759779634033 790791047667 976859529471 1435139308729 1845179111223 2279338902099 2372373143001 4305417926187 5535537333669 6838016706297 12916253778561 16606612001007 38748761335683 116246284007049