Search a number
-
+
9241690266630 = 2335349254338567
BaseRepresentation
bin1000011001111011111110…
…1010100101110000000110
31012201111102021200111021000
42012132333222211300012
52202403440202013010
631353323543434130
71642455462066153
oct206367752456006
935644367614230
109241690266630
112a43419252738
121053127455946
135206454b0593
1423d42ba4522a
151105e6c177c0
hex867bfaa5c06

9241690266630 has 128 divisors (see below), whose sum is σ = 24725481984000. Its totient is φ = 2456359247232.

The previous prime is 9241690266569. The next prime is 9241690266637. The reversal of 9241690266630 is 366620961429.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9241690266637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239607607 + ... + 239646173.

It is an arithmetic number, because the mean of its divisors is an integer number (193167828000).

Almost surely, 29241690266630 is an apocalyptic number.

9241690266630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9241690266630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362740992000).

9241690266630 is an abundant number, since it is smaller than the sum of its proper divisors (15483791717370).

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

9241690266630 is a wasteful number, since it uses less digits than its factorization.

9241690266630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41475 (or 41469 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 9241690266630 in words is "nine trillion, two hundred forty-one billion, six hundred ninety million, two hundred sixty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 349 698 1047 1745 2094 2543 3141 3490 5086 5235 6282 7629 9423 10470 12715 15258 15705 18846 22887 25430 31410 38145 38567 45774 47115 68661 76290 77134 94230 114435 115701 137322 192835 228870 231402 343305 347103 385670 578505 686610 694206 887507 1041309 1157010 1735515 1775014 2082618 2662521 3471030 4437535 5206545 5325042 7987563 8875070 10413090 13312605 13459883 15975126 23962689 26625210 26919766 39937815 40379649 47925378 67299415 79875630 80759298 98075881 119813445 121138947 134598830 196151762 201898245 239626890 242277894 294227643 363416841 403796490 490379405 588455286 605694735 726833682 882682929 980758810 1211389470 1471138215 1765365858 1817084205 2648048787 2942276430 3634168410 4413414645 5296097574 8826829290 13240243935 26480487870 34228482469 68456964938 102685447407 171142412345 205370894814 308056342221 342284824690 513427237035 616112684442 924169026663 1026854474070 1540281711105 1848338053326 3080563422210 4620845133315 9241690266630