Search a number
-
+
81496207086 = 237311273311489
BaseRepresentation
bin100101111100110001…
…1010110111011101110
321210100121111021021020
41023321203112323232
52313401012111321
6101234442315010
75613360221250
oct1137143267356
9253317437236
1081496207086
1131620536668
1213964ab8a66
1378ba0c9858
143d31771cd0
1521bea194c6
hex12f98d6eee

81496207086 has 128 divisors (see below), whose sum is σ = 194516090880. Its totient is φ = 22273574400.

The previous prime is 81496207049. The next prime is 81496207087. The reversal of 81496207086 is 68070269418.

It is a super-2 number, since 2×814962070862 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81496207087) 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, 54731430 + ... + 54732918.

It is an arithmetic number, because the mean of its divisors is an integer number (1519656960).

Almost surely, 281496207086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81496207086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97258045440).

81496207086 is an abundant number, since it is smaller than the sum of its proper divisors (113019883794).

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

81496207086 is a wasteful number, since it uses less digits than its factorization.

81496207086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990.

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 81496207086 in words is "eighty-one billion, four hundred ninety-six million, two hundred seven thousand, eighty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 127 186 217 254 331 381 434 651 662 762 889 993 1302 1489 1778 1986 2317 2667 2978 3937 4467 4634 5334 6951 7874 8934 10261 10423 11811 13902 20522 20846 23622 27559 30783 31269 42037 46159 55118 61566 62538 71827 82677 84074 92318 126111 138477 143654 165354 189103 215481 252222 276954 294259 323113 378206 430962 492859 567309 588518 646226 882777 969339 985718 1134618 1303147 1323721 1478577 1765554 1938678 2606294 2647442 2957154 3450013 3909441 3971163 5862193 6900026 7818882 7942326 9122029 10350039 11724386 15278629 17586579 18244058 20700078 27366087 30557258 35173158 41035351 45835887 54732174 62593093 82070702 91671774 106950403 123106053 125186186 187779279 213900806 246212106 320851209 375558558 438151651 641702418 876303302 1314454953 1940385883 2628909906 3880771766 5821157649 11642315298 13582701181 27165402362 40748103543 81496207086