Search a number
-
+
13909228624530 = 23251721925927767
BaseRepresentation
bin1100101001100111111010…
…1000011001101010010010
31211020201011001120022102100
43022121332220121222102
53310342100011441110
645325451133301230
72633623436366661
oct312317650315222
954221131508370
1013909228624530
114482963a44808
121687850634816
1379b8333919a5
143612d2d36dd8
15191c26ea0bc0
hexca67ea19a92

13909228624530 has 144 divisors (see below), whose sum is σ = 38419801467840. Its totient is φ = 3490636675584.

The previous prime is 13909228624523. The next prime is 13909228624561. The reversal of 13909228624530 is 3542682290931.

13909228624530 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 9 + 2 + 2 + 8 + 624 + 5 + 3 + 0 = 666.

13909228624530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 500912707 + ... + 500940473.

It is an arithmetic number, because the mean of its divisors is an integer number (266804176860).

Almost surely, 213909228624530 is an apocalyptic number.

13909228624530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909228624530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209900733920).

13909228624530 is an abundant number, since it is smaller than the sum of its proper divisors (24510572843310).

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

13909228624530 is a wasteful number, since it uses less digits than its factorization.

13909228624530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47073 (or 47053 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13909228624530 in words is "thirteen trillion, nine hundred nine billion, two hundred twenty-eight million, six hundred twenty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 19259 26010 27767 38518 55534 57777 83301 96295 115554 138835 166602 173331 192590 249903 277670 288885 327403 346662 416505 472039 499806 577770 654806 833010 866655 944078 982209 1249515 1416117 1637015 1733310 1964418 2360195 2499030 2832234 2946627 3274030 4248351 4720390 4911045 5565851 5893254 7080585 8024663 8496702 9822090 11131702 14161170 14733135 16049326 16697553 21241755 24073989 27829255 29466270 33395106 40123315 42483510 48147978 50092659 55658510 72221967 80246630 83487765 100185318 120369945 144443934 166975530 240739890 250463295 361109835 500926590 534764653 722219670 1069529306 1604293959 2673823265 3208587918 4812881877 5347646530 8021469795 9090999101 9625763754 16042939590 18181998202 24064409385 27272997303 45454995505 48128818770 54545994606 81818991909 90909991010 136364986515 154546984717 163637983818 272729973030 309093969434 409094959545 463640954151 772734923585 818189919090 927281908302 1390922862453 1545469847170 2318204770755 2781845724906 4636409541510 6954614312265 13909228624530