Base | Representation |
---|---|
bin | 111100110010110001… |
… | …0000100001111100000 |
3 | 110110222102110111202200 |
4 | 1321211202010033200 |
5 | 4114332411313333 |
6 | 135550332013200 |
7 | 12301132332555 |
oct | 1714542041740 |
9 | 413872414680 |
10 | 130552447968 |
11 | 504044a94a8 |
12 | 21375901200 |
13 | c407491317 |
14 | 64669d4a2c |
15 | 35e15dbc13 |
hex | 1e658843e0 |
130552447968 has 144 divisors (see below), whose sum is σ = 400330803600. Its totient is φ = 40221480960.
The previous prime is 130552447967. The next prime is 130552447969. The reversal of 130552447968 is 869744255031.
It is a happy number.
130552447968 is a `hidden beast` number, since 1 + 305 + 5 + 244 + 7 + 96 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (130552447967) and next prime (130552447969).
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130552447967) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66603 + ... + 515306.
It is an arithmetic number, because the mean of its divisors is an integer number (2780075025).
It is a 1-persistent number, because it is pandigital, but 2⋅130552447968 = 261104895936 is not.
Almost surely, 2130552447968 is an apocalyptic number.
130552447968 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 130552447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200165401800).
130552447968 is an abundant number, since it is smaller than the sum of its proper divisors (269778355632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130552447968 is a wasteful number, since it uses less digits than its factorization.
130552447968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 581985 (or 581974 counting only the distinct ones).
The product of its (nonzero) digits is 7257600, while the sum is 54.
The spelling of 130552447968 in words is "one hundred thirty billion, five hundred fifty-two million, four hundred forty-seven thousand, nine hundred sixty-eight".
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