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11157831731816 = 23711174349244997
BaseRepresentation
bin1010001001011110001010…
…0110001100101001101000
31110111200022110220101112022
42202113202212030221220
52430302214410404231
635421500453204012
72231061320601050
oct242274246145150
943450273811468
1011157831731816
1136120121460a0
121302567330608
1362c2433bc643
142a808310c560
15145392ae6c7b
hexa25e298ca68

11157831731816 has 128 divisors (see below), whose sum is σ = 27624014496000. Its totient is φ = 4090531614720.

The previous prime is 11157831731791. The next prime is 11157831731819. The reversal of 11157831731816 is 61813713875111.

It is not an unprimeable number, because it can be changed into a prime (11157831731819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45420230 + ... + 45665226.

It is an arithmetic number, because the mean of its divisors is an integer number (215812613250).

Almost surely, 211157831731816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11157831731816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812007248000).

11157831731816 is an abundant number, since it is smaller than the sum of its proper divisors (16466182764184).

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

11157831731816 is a wasteful number, since it uses less digits than its factorization.

11157831731816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249387 (or 249383 counting only the distinct ones).

The product of its digits is 846720, while the sum is 53.

The spelling of 11157831731816 in words is "eleven trillion, one hundred fifty-seven billion, eight hundred thirty-one million, seven hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 4349 5236 8698 10472 17396 30443 34792 47839 60886 73933 95678 121772 147866 191356 243544 244997 295732 334873 382712 489994 517531 591464 669746 813263 979988 1035062 1339492 1626526 1714979 1959976 2070124 2678984 2694967 3253052 3429958 4140248 4164949 5389934 5692841 6506104 6859916 8329898 10779868 11385682 13719832 16659796 18864769 21559736 22771364 29154643 33319592 37729538 45542728 45814439 58309286 75459076 91628878 116618572 150918152 183257756 233237144 320701073 366515512 641402146 1065491953 1282804292 2130983906 2565608584 4261967812 7458443671 8523935624 11720411483 14916887342 18113363201 23440822966 29833774684 36226726402 46881645932 59667549368 72453452804 82042880381 93763291864 126793542407 144906905608 164085760762 199246995211 253587084814 328171521524 398493990422 507174169628 656343043048 796987980844 1014348339256 1394728966477 1593975961688 2789457932954 5578915865908 11157831731816