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116693292816 = 243631632
BaseRepresentation
bin110110010101101110…
…1100101011100010000
3102011012120000111000000
41230223131211130100
53402441440332231
6125335210130000
711300524423452
oct1545335453420
9364176014000
10116693292816
114554235a071
121a748420900
13b0090c71b9
1459101022d2
15307ea2a6e6
hex1b2b765710

116693292816 has 105 divisors (see below), whose sum is σ = 339092017239. Its totient is φ = 38885466528.

The previous prime is 116693292811. The next prime is 116693292841. The reversal of 116693292816 is 618292396611.

The square root of 116693292816 is 341604.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116693292811) 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 20 ways as a sum of consecutive naturals, for example, 36891651 + ... + 36894813.

Almost surely, 2116693292816 is an apocalyptic number.

116693292816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116693292816 is the 341604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116693292816

116693292816 is an abundant number, since it is smaller than the sum of its proper divisors (222398724423).

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

116693292816 is an frugal number, since it uses more digits than its factorization.

116693292816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 3168 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 116693292816 in words is "one hundred sixteen billion, six hundred ninety-three million, two hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3163 3888 5832 6326 9489 11664 12652 18978 25304 28467 37956 50608 56934 75912 85401 113868 151824 170802 227736 256203 341604 455472 512406 683208 768609 1024812 1366416 1537218 2049624 2305827 3074436 4099248 4611654 6148872 9223308 10004569 12297744 18446616 20009138 30013707 36893232 40018276 60027414 80036552 90041121 120054828 160073104 180082242 240109656 270123363 360164484 480219312 540246726 720328968 810370089 1080493452 1440657936 1620740178 2160986904 2431110267 3241480356 4321973808 4862220534 6482960712 7293330801 9724441068 12965921424 14586661602 19448882136 29173323204 38897764272 58346646408 116693292816