| Base | Representation |
|---|---|
| bin | 10111111001010011000… |
| … | …000000000000000000000 |
| 3 | 12210222110200102201121000 |
| 4 | 113321103000000000000 |
| 5 | 203400424411003000 |
| 6 | 3254205003132000 |
| 7 | 226431011560641 |
| oct | 27712300000000 |
| 9 | 5728420381530 |
| 10 | 1642070016000 |
| 11 | 583441796157 |
| 12 | 2262b1b14000 |
| 13 | bbb00ac882b |
| 14 | 59695b7b6c8 |
| 15 | 2caa9bae000 |
| hex | 17e53000000 |
1642070016000 has 800 divisors, whose sum is σ = 6281389483200. Its totient is φ = 422785843200.
The previous prime is 1642070015981. The next prime is 1642070016007. The reversal of 1642070016000 is 6100702461.
1642070016000 is a `hidden beast` number, since 1 + 642 + 0 + 7 + 0 + 0 + 16 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (800).
It is a super-4 number, since 4×16420700160004 (a number of 50 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1642070016007) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 56623103986 + ... + 56623104014.
It is an arithmetic number, because the mean of its divisors is an integer number (7851736854).
Almost surely, 21642070016000 is an apocalyptic number.
1642070016000 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 1642070016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140694741600).
1642070016000 is an abundant number, since it is smaller than the sum of its proper divisors (4639319467200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1642070016000 is an frugal number, since it uses more digits than its factorization.
1642070016000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
Adding to 1642070016000 its reverse (6100702461), we get a palindrome (1648170718461).
The spelling of 1642070016000 in words is "one trillion, six hundred forty-two billion, seventy million, sixteen thousand".
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