Base | Representation |
---|---|
bin | 1000101000100001110… |
… | …1001110000000000000 |
3 | 112011211112221201011000 |
4 | 2022020131032000000 |
5 | 4412223432431320 |
6 | 152045250452000 |
7 | 13500315213000 |
oct | 2121035160000 |
9 | 464745851130 |
10 | 148318248960 |
11 | 579a086a762 |
12 | 248b3594000 |
13 | 10ca90222bb |
14 | 727029a000 |
15 | 3cd1132c90 |
hex | 228874e000 |
148318248960 has 1792 divisors, whose sum is σ = 679435776000. Its totient is φ = 30519853056.
The previous prime is 148318248959. The next prime is 148318248971. The reversal of 148318248960 is 69842813841.
It is a happy number.
148318248960 is a `hidden beast` number, since 1 + 4 + 83 + 1 + 82 + 489 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1792).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 148318248897 and 148318248906.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6448619509 + ... + 6448619531.
Almost surely, 2148318248960 is an apocalyptic number.
148318248960 is a gapful number since it is divisible by the number (10) 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 148318248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339717888000).
148318248960 is an abundant number, since it is smaller than the sum of its proper divisors (531117527040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148318248960 is an equidigital number, since it uses as much as digits as its factorization.
148318248960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 54.
The spelling of 148318248960 in words is "one hundred forty-eight billion, three hundred eighteen million, two hundred forty-eight thousand, nine hundred sixty".
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