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11161421406 = 23437259853
BaseRepresentation
bin10100110010100010…
…11100011001011110
31001210212011221210000
422121101130121132
5140324310441111
65043311555130
7543406342122
oct123121343136
931725157700
1011161421406
114808371113
1221b5b2baa6
13108b4c5085
1477c4cd582
15454d27c56
hex29945c65e

11161421406 has 120 divisors (see below), whose sum is σ = 26170368840. Its totient is φ = 3554394048.

The previous prime is 11161421363. The next prime is 11161421419. The reversal of 11161421406 is 60412416111.

11161421406 is a `hidden beast` number, since 1 + 1 + 1 + 614 + 2 + 1 + 40 + 6 = 666.

11161421406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11161421406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13084476 + ... + 13085328.

It is an arithmetic number, because the mean of its divisors is an integer number (218086407).

Almost surely, 211161421406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11161421406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085184420).

11161421406 is an abundant number, since it is smaller than the sum of its proper divisors (15008947434).

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

11161421406 is an equidigital number, since it uses as much as digits as its factorization.

11161421406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11161421406 its reverse (60412416111), we get a palindrome (71573837517).

The spelling of 11161421406 in words is "eleven billion, one hundred sixty-one million, four hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 59 74 81 111 118 162 177 222 333 354 531 666 853 999 1062 1369 1593 1706 1998 2183 2559 2738 2997 3186 4107 4366 4779 5118 5994 6549 7677 8214 9558 12321 13098 15354 19647 23031 24642 31561 36963 39294 46062 50327 58941 63122 69093 73926 80771 94683 100654 110889 117882 138186 150981 161542 176823 189366 221778 242313 284049 301962 353646 452943 484626 568098 726939 852147 905886 1167757 1358829 1453878 1704294 1862099 2180817 2335514 2556441 2717658 3503271 3724198 4076487 4361634 5112882 5586297 6542451 7006542 8152974 10509813 11172594 13084902 16758891 21019626 31529439 33517782 50276673 63058878 68897663 94588317 100553346 137795326 150830019 189176634 206692989 301660038 413385978 620078967 1240157934 1860236901 3720473802 5580710703 11161421406