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11989264665912 = 2336159993714591
BaseRepresentation
bin1010111001110111011111…
…0111001000110100111000
31120110011101110122121221020
42232131313313020310320
53032413003223302122
641255443034342440
72345124104123262
oct256356767106470
946404343577836
1011989264665912
113902689387476
12141772458aa20
1368c7765711b1
142d63d7d24b32
1515bd05710c5c
hexae777dc8d38

11989264665912 has 128 divisors (see below), whose sum is σ = 30550044672000. Its totient is φ = 3919887129600.

The previous prime is 11989264665881. The next prime is 11989264665919. The reversal of 11989264665912 is 21956646298911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11989264665919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821681737 + ... + 821696327.

It is an arithmetic number, because the mean of its divisors is an integer number (238672224000).

Almost surely, 211989264665912 is an apocalyptic number.

11989264665912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11989264665912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275022336000).

11989264665912 is an abundant number, since it is smaller than the sum of its proper divisors (18560780006088).

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

11989264665912 is a wasteful number, since it uses less digits than its factorization.

11989264665912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16197 (or 16193 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 69.

The spelling of 11989264665912 in words is "eleven trillion, nine hundred eighty-nine billion, two hundred sixty-four million, six hundred sixty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 599 732 937 1198 1464 1797 1874 2396 2811 3594 3748 4792 5622 7188 7496 11244 14376 14591 22488 29182 36539 43773 57157 58364 73078 87546 109617 114314 116728 146156 171471 175092 219234 228628 292312 342942 350184 438468 457256 561263 685884 876936 890051 1122526 1371768 1683789 1780102 2245052 2670153 3367578 3560204 4490104 5340306 6735156 7120408 8740009 10680612 13470312 13671767 17480018 21361224 26220027 27343534 34237043 34960036 41015301 52440054 54687068 68474086 69920072 82030602 102711129 104880108 109374136 136948172 164061204 205422258 209760216 273896344 328122408 410844516 533140549 821689032 833977787 1066281098 1599421647 1667955574 2132562196 2501933361 3198843294 3335911148 4265124392 5003866722 6397686588 6671822296 8189388433 10007733444 12795373176 16378776866 20015466888 24568165299 32757553732 49136330598 65515107464 98272661196 196545322392 499552694413 999105388826 1498658083239 1998210777652 2997316166478 3996421555304 5994632332956 11989264665912