Base | Representation |
---|---|
bin | 1001110010010011100… |
… | …1110000000000000000 |
3 | 121001221202210100000000 |
4 | 2130210321300000000 |
5 | 10223303421440021 |
6 | 205122400000000 |
7 | 15101145405423 |
oct | 2344471600000 |
9 | 531852710000 |
10 | 168122843136 |
11 | 65333a64466 |
12 | 28700000000 |
13 | 12b14090a91 |
14 | 81cc6379ba |
15 | 458eb50b26 |
hex | 2724e70000 |
168122843136 has 612 divisors, whose sum is σ = 557223715152. Its totient is φ = 50451185664.
The previous prime is 168122843107. The next prime is 168122843137. The reversal of 168122843136 is 631348221861.
168122843136 is a `hidden beast` number, since 1 + 68 + 122 + 8 + 431 + 36 = 666.
It is a tau number, because it is divible by the number of its divisors (612).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (331776) is a multiple of the sum of its prime factors (96).
It is a junction number, because it is equal to n+sod(n) for n = 168122843091 and 168122843100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168122843137) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7309688821 + ... + 7309688843.
Almost surely, 2168122843136 is an apocalyptic number.
168122843136 is a gapful number since it is divisible by the number (16) 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 168122843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278611857576).
168122843136 is an abundant number, since it is smaller than the sum of its proper divisors (389100872016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168122843136 is an frugal number, since it uses more digits than its factorization.
168122843136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 45 counting only the distinct ones).
The product of its digits is 331776, while the sum is 45.
The spelling of 168122843136 in words is "one hundred sixty-eight billion, one hundred twenty-two million, eight hundred forty-three thousand, one hundred thirty-six".
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