| Base | Representation |
|---|---|
| bin | 10110011100110101101011… |
| … | …000111000000100100000000 |
| 3 | 110221121100002202022210100000 |
| 4 | 112130311223013000210000 |
| 5 | 100420214030320322133 |
| 6 | 545555551213200000 |
| 7 | 26540433341350500 |
| oct | 2634655307004400 |
| 9 | 427540082283300 |
| 10 | 98738800167168 |
| 11 | 29508987640947 |
| 12 | b0a82a8490000 |
| 13 | 431304b667a05 |
| 14 | 1a54daa749a00 |
| 15 | b63651d7a413 |
| hex | 59cd6b1c0900 |
98738800167168 has 648 divisors, whose sum is σ = 358365654174528. Its totient is φ = 26984497655808.
The previous prime is 98738800167149. The next prime is 98738800167179. The reversal of 98738800167168 is 86176100883789.
98738800167168 is a `hidden beast` number, since 9 + 87 + 388 + 0 + 0 + 1 + 6 + 7 + 168 = 666.
It is a tau number, because it is divible by the number of its divisors (648).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 98738800167096 and 98738800167105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69404230 + ... + 70812602.
It is an arithmetic number, because the mean of its divisors is an integer number (553033416936).
Almost surely, 298738800167168 is an apocalyptic number.
98738800167168 is a gapful number since it is divisible by the number (98) 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 98738800167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179182827087264).
98738800167168 is an abundant number, since it is smaller than the sum of its proper divisors (259626854007360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98738800167168 is a wasteful number, since it uses less digits than its factorization.
98738800167168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1408441 (or 1408408 counting only the distinct ones).
The product of its (nonzero) digits is 195084288, while the sum is 72.
The spelling of 98738800167168 in words is "ninety-eight trillion, seven hundred thirty-eight billion, eight hundred million, one hundred sixty-seven thousand, one hundred sixty-eight".
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