| Base | Representation |
|---|---|
| bin | 10111001110111101000010… |
| … | …011100010000000000000000 |
| 3 | 111101210120100202220021100000 |
| 4 | 113032331002130100000000 |
| 5 | 101343130113000002320 |
| 6 | 1001154024221200000 |
| 7 | 30344312052030534 |
| oct | 2716750234200000 |
| 9 | 441716322807300 |
| 10 | 102182681640960 |
| 11 | 2a616482986738 |
| 12 | b563831400000 |
| 13 | 4502a29a7aa4b |
| 14 | 1b3394d6b1bc4 |
| 15 | bc3015610c90 |
| hex | 5cef42710000 |
102182681640960 has 3264 divisors, whose sum is σ = 426640508985600. Its totient is φ = 23287044243456.
The previous prime is 102182681640913. The next prime is 102182681640961. The reversal of 102182681640960 is 69046186281201.
102182681640960 is a `hidden beast` number, since 1 + 0 + 21 + 82 + 6 + 81 + 6 + 409 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (3264).
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 = 102182681640897 and 102182681640906.
It is not an unprimeable number, because it can be changed into a prime (102182681640961) 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 191 ways as a sum of consecutive naturals, for example, 745858990012 + ... + 745858990148.
Almost surely, 2102182681640960 is an apocalyptic number.
102182681640960 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 102182681640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213320254492800).
102182681640960 is an abundant number, since it is smaller than the sum of its proper divisors (324457827344640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102182681640960 is an equidigital number, since it uses as much as digits as its factorization.
102182681640960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 1990656, while the sum is 54.
The spelling of 102182681640960 in words is "one hundred two trillion, one hundred eighty-two billion, six hundred eighty-one million, six hundred forty thousand, nine hundred sixty".
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