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12411252480 = 283511293827
BaseRepresentation
bin10111000111100010…
…01010111100000000
31012000221221221200210
423203301022330000
5200404240034410
65411320114120
7616363622364
oct134361127400
935027857623
1012411252480
115299912760
1224a4605940
13122a415aa3
1485a4b12a4
154c9908220
hex2e3c4af00

12411252480 has 144 divisors (see below), whose sum is σ = 43242079104. Its totient is φ = 3008778240.

The previous prime is 12411252457. The next prime is 12411252487. The reversal of 12411252480 is 8425211421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411252487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104674 + ... + 189153.

It is an arithmetic number, because the mean of its divisors is an integer number (300292216).

Almost surely, 212411252480 is an apocalyptic number.

12411252480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12411252480 is an abundant number, since it is smaller than the sum of its proper divisors (30830826624).

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

12411252480 is a wasteful number, since it uses less digits than its factorization.

12411252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293862 (or 293848 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 12411252480 in words is "twelve billion, four hundred eleven million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 293827 587654 881481 1175308 1469135 1762962 2350616 2938270 3232097 3525924 4407405 4701232 5876540 6464194 7051848 8814810 9402464 9696291 11753080 12928388 14103696 16160485 17629620 18804928 19392582 23506160 25856776 28207392 32320970 35259240 37609856 38785164 47012320 48481455 51713552 56414784 64641940 70518480 75219712 77570328 94024640 96962910 103427104 112829568 129283880 141036960 155140656 188049280 193925820 206854208 225659136 258567760 282073920 310281312 376098560 387851640 413708416 517135520 564147840 620562624 775703280 827416832 1034271040 1128295680 1241125248 1551406560 2068542080 2482250496 3102813120 4137084160 6205626240 12411252480