Search a number
-
+
12445345000 = 235411415519
BaseRepresentation
bin10111001011100110…
…01110010011101000
31012010100010000211201
423211303032103220
5200442002020000
65414534533544
7620256454444
oct134563162350
935110100751
1012445345000
1153070889a0
1224b3b072b4
1312344c178a
14860c27824
154cc8de96a
hex2e5cce4e8

12445345000 has 160 divisors (see below), whose sum is σ = 32592067200. Its totient is φ = 4414400000.

The previous prime is 12445344997. The next prime is 12445345007. The reversal of 12445345000 is 54354421.

It is a super-2 number, since 2×124453450002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12445345000.

It is not an unprimeable number, because it can be changed into a prime (12445345007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2252241 + ... + 2257759.

It is an arithmetic number, because the mean of its divisors is an integer number (203700420).

Almost surely, 212445345000 is an apocalyptic number.

12445345000 is a gapful number since it is divisible by the number (10) 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 12445345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296033600).

12445345000 is an abundant number, since it is smaller than the sum of its proper divisors (20146722200).

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

12445345000 is a wasteful number, since it uses less digits than its factorization.

12445345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 12445345000 its reverse (54354421), we get a palindrome (12499699421).

The spelling of 12445345000 in words is "twelve billion, four hundred forty-five million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 625 820 902 1000 1025 1100 1250 1375 1640 1804 2050 2200 2255 2500 2750 3608 4100 4510 5000 5125 5500 5519 6875 8200 9020 10250 11000 11038 11275 13750 18040 20500 22076 22550 25625 27500 27595 41000 44152 45100 51250 55000 55190 56375 60709 90200 102500 110380 112750 121418 137975 205000 220760 225500 226279 242836 275950 281875 303545 451000 452558 485672 551900 563750 607090 689875 905116 1103800 1127500 1131395 1214180 1379750 1517725 1810232 2255000 2262790 2428360 2489069 2759500 3035450 3449375 4525580 4978138 5519000 5656975 6070900 6898750 7588625 9051160 9956276 11313950 12141800 12445345 13797500 15177250 19912552 22627900 24890690 27595000 28284875 30354500 37943125 45255800 49781380 56569750 60709000 62226725 75886250 99562760 113139500 124453450 141424375 151772500 226279000 248906900 282848750 303545000 311133625 497813800 565697500 622267250 1131395000 1244534500 1555668125 2489069000 3111336250 6222672500 12445345000