Search a number
-
+
116698240868416 = 26972139212
BaseRepresentation
bin11010100010001011101101…
…001100010110000001000000
3120022012020120001110120212121
4122202023231030112001000
5110243440444130242131
61052110233131534024
733403112124503044
oct3242135514260100
9508166501416777
10116698240868416
113420249a720689
1211108a988ba314
13501679b4ba00c
1420b632155a024
15d758c80bd911
hex6a22ed316040

116698240868416 has 63 divisors (see below), whose sum is σ = 234001844116407. Its totient is φ = 57743434874880.

The previous prime is 116698240868413. The next prime is 116698240868441. The reversal of 116698240868416 is 614868042896611.

The square root of 116698240868416 is 10802696.

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

116698240868416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211636801600 + 116486604066816 = 460040^2 + 10792896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116698240868413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8382885136 + ... + 8382899056.

Almost surely, 2116698240868416 is an apocalyptic number.

116698240868416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116698240868416 is the 10802696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116698240868416

116698240868416 is an abundant number, since it is smaller than the sum of its proper divisors (117303603247991).

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

116698240868416 is an frugal number, since it uses more digits than its factorization.

116698240868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28048 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 70.

The spelling of 116698240868416 in words is "one hundred sixteen trillion, six hundred ninety-eight billion, two hundred forty million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 9409 13921 18818 27842 37636 55684 75272 111368 150544 222736 301088 445472 602176 890944 1350337 2700674 5401348 10802696 21605392 43210784 86421568 130982689 193794241 261965378 387588482 523930756 775176964 1047861512 1550353928 2095723024 3100707856 4191446048 6201415712 8382892096 12402831424 18798041377 37596082754 75192165508 150384331016 300768662032 601537324064 1203074648128 1823410013569 3646820027138 7293640054276 14587280108552 29174560217104 58349120434208 116698240868416