Base | Representation |
---|---|
bin | 100100101010010011001110… |
… | …101100010100100000000000 |
3 | 210010220001200200220022212000 |
4 | 210222103032230110200000 |
5 | 132113144413221013030 |
6 | 1330531013253104000 |
7 | 45650645525042544 |
oct | 4452231654244000 |
9 | 703801620808760 |
10 | 161236540016640 |
11 | 4741403a458730 |
12 | 1610087b028000 |
13 | 6bc770459634a |
14 | 2bb5c668dba24 |
15 | 13991ebdde860 |
hex | 92a4ceb14800 |
161236540016640 has 1536 divisors, whose sum is σ = 663258383424000. Its totient is φ = 36720082944000.
The previous prime is 161236540016639. The next prime is 161236540016647. The reversal of 161236540016640 is 46610045632161.
161236540016640 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 3 + 6 + 540 + 0 + 1 + 66 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (161236540016647) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 31072755166 + ... + 31072760354.
It is an arithmetic number, because the mean of its divisors is an integer number (431808843375).
Almost surely, 2161236540016640 is an apocalyptic number.
161236540016640 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 161236540016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331629191712000).
161236540016640 is an abundant number, since it is smaller than the sum of its proper divisors (502021843407360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
161236540016640 is a wasteful number, since it uses less digits than its factorization.
161236540016640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5854 (or 5828 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 161236540016640 in words is "one hundred sixty-one trillion, two hundred thirty-six billion, five hundred forty million, sixteen thousand, six hundred forty".
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