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10241115621066 = 2341134926476221
BaseRepresentation
bin1001010100000111001000…
…0011110000011011001010
31100021001002221210220020000
42111001302003300123022
52320242301044333231
633440411545343430
72104616251325541
oct225016203603312
940231087726200
1010241115621066
113299261867940
121194968a97b76
1359396b6b9b55
1427595ba25158
1512b5dccbd6e6
hex950720f06ca

10241115621066 has 160 divisors (see below), whose sum is σ = 25119090057600. Its totient is φ = 3092809910400.

The previous prime is 10241115621053. The next prime is 10241115621089. The reversal of 10241115621066 is 66012651114201.

10241115621066 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 11 + 15 + 621 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10241115621066.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1646213836 + ... + 1646220056.

It is an arithmetic number, because the mean of its divisors is an integer number (156994312860).

Almost surely, 210241115621066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241115621066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559545028800).

10241115621066 is an abundant number, since it is smaller than the sum of its proper divisors (14877974436534).

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

10241115621066 is a wasteful number, since it uses less digits than its factorization.

10241115621066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 10241115621066 its reverse (66012651114201), we get a palindrome (76253766735267).

The spelling of 10241115621066 in words is "ten trillion, two hundred forty-one billion, one hundred fifteen million, six hundred twenty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 349 594 698 891 1047 1782 2094 2647 3141 3839 5294 6221 6282 7678 7941 9423 11517 12442 15882 18663 18846 23034 23823 28269 29117 34551 37326 47646 55989 56538 58234 68431 69102 71469 87351 103653 111978 136862 142938 167967 174702 205293 207306 214407 262053 310959 335934 410586 428814 503901 524106 615879 621918 786159 923803 1007802 1231758 1572318 1847606 1847637 2171129 2358477 2771409 3695274 4342258 4716954 5542818 5542911 6513387 8314227 10161833 11085822 13026774 16466987 16628454 19540161 20323666 23882419 24942681 30485499 32933974 39080322 47764838 49400961 49885362 58620483 60970998 71647257 74828043 91456497 98801922 117240966 143294514 148202883 149656086 175861449 181136857 182912994 214941771 274369491 296405766 351722898 362273714 429883542 444608649 543410571 548738982 644825313 823108473 889217298 1086821142 1289650626 1333825947 1630231713 1646216946 1934475939 2667651894 3260463426 3868951878 4890695139 5746978463 9781390278 11493956926 14672085417 17240935389 29344170834 34481870778 51722806167 63216763093 103445612334 126433526186 155168418501 189650289279 310336837002 379300578558 465505255503 568950867837 931010511006 1137901735674 1706852603511 3413705207022 5120557810533 10241115621066