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134108206848 = 2833711222907
BaseRepresentation
bin111110011100101111…
…0001101011100000000
3110211011020020202222000
41330321132031130000
54144123200104343
6141335232144000
712455216643540
oct1747136153400
9424136222860
10134108206848
115196964a800
1221ba8698000
13c853051365
1466c2d49320
15374d85eed3
hex1f3978d700

134108206848 has 432 divisors, whose sum is σ = 498206849280. Its totient is φ = 34831779840.

The previous prime is 134108206819. The next prime is 134108206849. The reversal of 134108206848 is 848602801431.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1341082068482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134108206849) 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 47 ways as a sum of consecutive naturals, for example, 5843011 + ... + 5865917.

Almost surely, 2134108206848 is an apocalyptic number.

134108206848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134108206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249103424640).

134108206848 is an abundant number, since it is smaller than the sum of its proper divisors (364098642432).

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

134108206848 is a wasteful number, since it uses less digits than its factorization.

134108206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 134108206848 in words is "one hundred thirty-four billion, one hundred eight million, two hundred six thousand, eight hundred forty-eight".