| Base | Representation |
|---|---|
| bin | 101011001001001011100010… |
| … | …110001101110111100000000 |
| 3 | 220212211121211121102221001000 |
| 4 | 223021023202301232330000 |
| 5 | 144332303042143001231 |
| 6 | 1511320301511412000 |
| 7 | 54652521215340540 |
| oct | 5311134261567400 |
| 9 | 825747747387030 |
| 10 | 189746869890816 |
| 11 | 555062173a9797 |
| 12 | 1934626a984000 |
| 13 | 81b508c736b84 |
| 14 | 34bdb244cd320 |
| 15 | 16e0b4163c6e6 |
| hex | ac92e2c6ef00 |
189746869890816 has 1152 divisors, whose sum is σ = 654991316582400. Its totient is φ = 53069119488000.
The previous prime is 189746869890769. The next prime is 189746869890817. The reversal of 189746869890816 is 618098968647981.
189746869890816 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 468 + 69 + 8 + 9 + 0 + 81 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1897468698908162 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (189746869890817) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231116771686 + ... + 231116772506.
It is an arithmetic number, because the mean of its divisors is an integer number (568568851200).
Almost surely, 2189746869890816 is an apocalyptic number.
189746869890816 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 189746869890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327495658291200).
189746869890816 is an abundant number, since it is smaller than the sum of its proper divisors (465244446691584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189746869890816 is a wasteful number, since it uses less digits than its factorization.
189746869890816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1414 (or 1394 counting only the distinct ones).
The product of its (nonzero) digits is 18059231232, while the sum is 90.
The spelling of 189746869890816 in words is "one hundred eighty-nine trillion, seven hundred forty-six billion, eight hundred sixty-nine million, eight hundred ninety thousand, eight hundred sixteen".
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