Search a number
-
+
12155453184 = 28377928621
BaseRepresentation
bin10110101001000010…
…10111111100000000
31011101010122000000210
423110201113330000
5144343244000214
65330101314120
7610136435010
oct132441277400
934333560023
1012155453184
115178488986
122432a05940
1311b9422864
14834525c40
154b222ab59
hex2d4857f00

12155453184 has 144 divisors (see below), whose sum is σ = 37442155520. Its totient is φ = 3428904960.

The previous prime is 12155453173. The next prime is 12155453207. The reversal of 12155453184 is 48135455121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410394 + ... + 439014.

Almost surely, 212155453184 is an apocalyptic number.

12155453184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12155453184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18721077760).

12155453184 is an abundant number, since it is smaller than the sum of its proper divisors (25286702336).

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

12155453184 is an equidigital number, since it uses as much as digits as its factorization.

12155453184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28726 (or 28712 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The spelling of 12155453184 in words is "twelve billion, one hundred fifty-five million, four hundred fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2528 2688 3318 3792 4424 5056 5376 6636 7584 8848 10112 13272 15168 17696 20224 26544 28621 30336 35392 53088 57242 60672 70784 85863 106176 114484 141568 171726 200347 212352 228968 343452 400694 424704 457936 601041 686904 801388 915872 1202082 1373808 1602776 1831744 2261059 2404164 2747616 3205552 3663488 4522118 4808328 5495232 6411104 6783177 7326976 9044236 9616656 10990464 12822208 13566354 15827413 18088472 19233312 21980928 25644416 27132708 31654826 36176944 38466624 47482239 51288832 54265416 63309652 72353888 76933248 94964478 108530832 126619304 144707776 153866496 189928956 217061664 253238608 289415552 379857912 434123328 506477216 578831104 759715824 868246656 1012954432 1519431648 1736493312 2025908864 3038863296 4051817728 6077726592 12155453184