Search a number
-
+
645442543350 = 2325211149875117
BaseRepresentation
bin10010110010001110101…
…11111001111011110110
32021201000000000102220100
421121013113321323312
541033331242341400
61212302345414530
764426445045103
oct11310727717366
92251000012810
10645442543350
11229804541a50
12a511149a446
1348b32457307
142334d5cdaaa
1511bc9575100
hex96475f9ef6

645442543350 has 144 divisors (see below), whose sum is σ = 1904431791600. Its totient is φ = 155420601600.

The previous prime is 645442543321. The next prime is 645442543367. The reversal of 645442543350 is 53345244546.

645442543350 is a `hidden beast` number, since 6 + 4 + 5 + 44 + 254 + 3 + 350 = 666.

It is a super-2 number, since 2×6454425433502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 645442543296 and 645442543305.

It is a congruent 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, 299992 + ... + 1175108.

It is an arithmetic number, because the mean of its divisors is an integer number (13225220775).

Almost surely, 2645442543350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645442543350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952215895800).

645442543350 is an abundant number, since it is smaller than the sum of its proper divisors (1258989248250).

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

645442543350 is a wasteful number, since it uses less digits than its factorization.

645442543350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875295 (or 875287 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 645442543350 its reverse (53345244546), we get a palindrome (698787787896).

The spelling of 645442543350 in words is "six hundred forty-five billion, four hundred forty-two million, five hundred forty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 149 150 165 198 225 275 298 330 447 450 495 550 745 825 894 990 1341 1490 1639 1650 2235 2475 2682 3278 3725 4470 4917 4950 6705 7450 8195 9834 11175 13410 14751 16390 22350 24585 29502 33525 40975 49170 67050 73755 81950 122925 147510 245850 368775 737550 875117 1750234 2625351 4375585 5250702 7876053 8751170 9626287 13126755 15752106 19252574 21877925 26253510 28878861 39380265 43755850 48131435 57757722 65633775 78760530 86636583 96262870 130392433 131267550 144394305 173273166 196901325 240657175 260784866 288788610 391177299 393802650 433182915 481314350 651962165 721971525 782354598 866365830 1173531897 1303924330 1434316763 1443943050 1955886495 2165914575 2347063794 2868633526 3259810825 3911772990 4302950289 4331829150 5867659485 6519621650 7171583815 8605900578 9779432475 11735318970 12908850867 14343167630 19558864950 21514751445 25817701734 29338297425 35857919075 43029502890 58676594850 64544254335 71715838150 107573757225 129088508670 215147514450 322721271675 645442543350