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239349906756 = 223267212172
BaseRepresentation
bin1101111011101001011…
…1011011110101000100
3211212210201002001201100
43132322113123311010
512410142034004011
6301542243100100
723202212432142
oct3367227336504
9755721061640
10239349906756
11925648675a4
123a479971630
13197557b717c
14b8281c6592
15635cd45d56
hex37ba5dbd44

239349906756 has 81 divisors (see below), whose sum is σ = 614693442909. Its totient is φ = 78527927808.

The previous prime is 239349906749. The next prime is 239349906773. The reversal of 239349906756 is 657609943932.

The square root of 239349906756 is 489234.

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

239349906756 is a `hidden beast` number, since 2 + 3 + 93 + 499 + 0 + 6 + 7 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80321228100 + 159028678656 = 283410^2 + 398784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 239349906693 and 239349906702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 196671460 + ... + 196672676.

Almost surely, 2239349906756 is an apocalyptic number.

239349906756 is the 489234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239349906756

239349906756 is an abundant number, since it is smaller than the sum of its proper divisors (375343536153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239349906756 is an equidigital number, since it uses as much as digits as its factorization.

239349906756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 239349906756 in words is "two hundred thirty-nine billion, three hundred forty-nine million, nine hundred six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1217 2412 2434 3651 4489 4868 7302 8978 10953 13467 14604 17956 21906 26934 40401 43812 53868 80802 81539 161604 163078 244617 326156 489234 733851 978468 1467702 1481089 2935404 2962178 4443267 5463113 5924356 8886534 10926226 13329801 16389339 17773068 21852452 26659602 32778678 49168017 53319204 65557356 98336034 99232963 196672068 198465926 297698889 396931852 595397778 893096667 1190795556 1786193334 3572386668 6648608521 13297217042 19945825563 26594434084 39891651126 59837476689 79783302252 119674953378 239349906756