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14926106016 = 2532454911393
BaseRepresentation
bin11011110011010101…
…00100110110100000
31102112020002202012100
431321222210312200
5221032040343031
610505034130400
71035611544033
oct157152446640
942466082170
1014926106016
11636a441408
122a86880a00
13153b445cc3
14a184ab01a
155c55b9de6
hex379aa4da0

14926106016 has 72 divisors (see below), whose sum is σ = 42459171300. Its totient is φ = 4973838336.

The previous prime is 14926105991. The next prime is 14926106099. The reversal of 14926106016 is 61060162941.

14926106016 is a `hidden beast` number, since 1 + 49 + 2 + 6 + 1 + 0 + 601 + 6 = 666.

14926106016 is digitally balanced in base 2, 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 2 ways, for example, as 14013824400 + 912281616 = 118380^2 + 30204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1304416 + ... + 1315808.

Almost surely, 214926106016 is an apocalyptic number.

14926106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14926106016 is an abundant number, since it is smaller than the sum of its proper divisors (27533065284).

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

14926106016 is a wasteful number, since it uses less digits than its factorization.

14926106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 14926106016 its reverse (61060162941), we get a palindrome (75986268957).

The spelling of 14926106016 in words is "fourteen billion, nine hundred twenty-six million, one hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4549 9098 11393 13647 18196 22786 27294 34179 36392 40941 45572 54588 68358 72784 81882 91144 102537 109176 136716 145568 163764 182288 205074 218352 273432 327528 364576 410148 436704 546864 655056 820296 1093728 1310112 1640592 3281184 51826757 103653514 155480271 207307028 310960542 414614056 466440813 621921084 829228112 932881626 1243842168 1658456224 1865763252 2487684336 3731526504 4975368672 7463053008 14926106016