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1216690623368 = 231124353551519
BaseRepresentation
bin10001101101001000011…
…010011001001110001000
311022022111021001121221022
4101231020122121032020
5124413240244421433
62330535010332012
7153621504442403
oct21551032311610
94268437047838
101216690623368
11429aa5157500
1217797728a008
138a96c4793cc
1442c610b2d3a
15219b0150698
hex11b48699388

1216690623368 has 96 divisors (see below), whose sum is σ = 2614270982400. Its totient is φ = 529986737280.

The previous prime is 1216690623331. The next prime is 1216690623371. The reversal of 1216690623368 is 8633260966121.

It is a Cunningham number, because it is equal to 11030372-1.

It is a super-3 number, since 3×12166906233683 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 23 ways as a sum of consecutive naturals, for example, 1930313 + ... + 2481831.

It is an arithmetic number, because the mean of its divisors is an integer number (27231989400).

Almost surely, 21216690623368 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 1216690623368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307135491200).

1216690623368 is an abundant number, since it is smaller than the sum of its proper divisors (1397580359032).

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

1216690623368 is a wasteful number, since it uses less digits than its factorization.

1216690623368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551643 (or 551628 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 1216690623368 in words is "one trillion, two hundred sixteen billion, six hundred ninety million, six hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 43 44 53 86 88 106 121 172 212 242 344 424 473 484 583 946 968 1166 1892 2279 2332 3784 4558 4664 5203 6413 9116 10406 12826 18232 20812 25069 25652 41624 50138 51304 100276 200552 275759 551518 551519 1103036 1103038 2206072 2206076 4412152 6066709 12133418 23715317 24266836 29230507 47430634 48533672 58461014 66733799 94861268 116922028 133467598 189722536 233844056 260868487 266935196 321535577 521736974 533870392 643071154 1043473948 1256911801 1286142308 2086947896 2513823602 2572284616 2869553357 3536891347 5027647204 5739106714 7073782694 10055294408 11478213428 13826029811 14147565388 22956426856 27652059622 28295130776 55304119244 110608238488 152086327921 304172655842 608345311684 1216690623368