Search a number
-
+
2182268198368 = 252371347120349
BaseRepresentation
bin11111110000011001010…
…100100001110111100000
321201121211000121200102201
4133300121110201313200
5241223241124321433
64350304205022544
7313443432425266
oct37603124416740
97647730550381
102182268198368
11771549562a75
122b2b31254a54
1312aa30097a1b
147789d9da436
153bb748c4a7d
hex1fc19521de0

2182268198368 has 96 divisors (see below), whose sum is σ = 4559420275200. Its totient is φ = 1026019653120.

The previous prime is 2182268198353. The next prime is 2182268198377. The reversal of 2182268198368 is 8638918622812.

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, 18072658 + ... + 18193006.

It is an arithmetic number, because the mean of its divisors is an integer number (47493961200).

Almost surely, 22182268198368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182268198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279710137600).

2182268198368 is an abundant number, since it is smaller than the sum of its proper divisors (2377152076832).

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

2182268198368 is a wasteful number, since it uses less digits than its factorization.

2182268198368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120800 (or 120792 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

The spelling of 2182268198368 in words is "two trillion, one hundred eighty-two billion, two hundred sixty-eight million, one hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 347 368 568 694 736 1136 1388 1633 2272 2776 3266 5552 6532 7981 11104 13064 15962 24637 26128 31924 49274 52256 63848 98548 120349 127696 197096 240698 255392 394192 481396 566651 788384 962792 1133302 1925584 2266604 2768027 3851168 4533208 5536054 8544779 9066416 11072108 17089558 18132832 22144216 34179116 41761103 44288432 68358232 83522206 88576864 136716464 167044412 196529917 273432928 334088824 393059834 668177648 786119668 960505369 1336355296 1572239336 1921010738 2965038313 3144478672 3842021476 5930076626 6288957344 7684042952 11860153252 15368085904 23720306504 30736171808 47440613008 68195881199 94881226016 136391762398 272783524796 545567049592 1091134099184 2182268198368