Search a number
-
+
9742340552780 = 225112157193132859
BaseRepresentation
bin1000110111000101000010…
…1111110111100001001100
31021111100200110112011101202
42031301100233313201030
52234104303140142110
632415323000525032
72023601165233523
oct215612057674114
937440613464352
109742340552780
113116781294800
12111416a180778
13558911282654
142597633814ba
1511d64999d0a5
hex8dc50bf784c

9742340552780 has 144 divisors (see below), whose sum is σ = 22748564485920. Its totient is φ = 3501839278080.

The previous prime is 9742340552699. The next prime is 9742340552827. The reversal of 9742340552780 is 872550432479.

9742340552780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73261991 + ... + 73394849.

Almost surely, 29742340552780 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 9742340552780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374282242960).

9742340552780 is an abundant number, since it is smaller than the sum of its proper divisors (13006223933140).

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

9742340552780 is a wasteful number, since it uses less digits than its factorization.

9742340552780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133240 (or 133227 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 9742340552780 in words is "nine trillion, seven hundred forty-two billion, three hundred forty million, five hundred fifty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 157 193 220 242 314 386 484 605 628 772 785 965 1210 1570 1727 1930 2123 2420 3140 3454 3860 4246 6908 8492 8635 10615 17270 18997 21230 23353 30301 34540 37994 42460 46706 60602 75988 93412 94985 116765 121204 132859 151505 189970 233530 265718 303010 333311 379940 467060 531436 606020 664295 666622 1328590 1333244 1461449 1666555 2657180 2922898 3333110 3666421 5845796 6666220 7307245 7332842 14614490 14665684 16075939 18332105 20858863 25641787 29228980 32151878 36664210 41717726 51283574 64303756 73328420 80379695 83435452 102567148 104294315 128208935 160759390 208588630 229447493 256417870 282059657 321518780 417177260 458894986 512835740 564119314 917789972 1128238628 1147237465 1410298285 2294474930 2523922423 2820596570 3102656227 4025760559 4588949860 5047844846 5641193140 6205312454 8051521118 10095689692 12410624908 12619612115 15513281135 16103042236 20128802795 25239224230 31026562270 40257605590 44283366149 50478448460 62053124540 80515211180 88566732298 177133464596 221416830745 442833661490 487117027639 885667322980 974234055278 1948468110556 2435585138195 4871170276390 9742340552780