| Base | Representation |
|---|---|
| bin | 100001011000001110111101… |
| … | …111000111011010010100000 |
| 3 | 201020210000201020200012000000 |
| 4 | 201120032331320323102200 |
| 5 | 123220141141443323340 |
| 6 | 1240115220130300000 |
| 7 | 42631004325146553 |
| oct | 4130167570732240 |
| 9 | 636700636605000 |
| 10 | 146800873026720 |
| 11 | 4285899a807280 |
| 12 | 1456abab427600 |
| 13 | 63bb35585b103 |
| 14 | 28372b337a69a |
| 15 | 11e8963215d30 |
| hex | 8583bde3b4a0 |
146800873026720 has 2688 divisors, whose sum is σ = 623689345843200. Its totient is φ = 32221753344000.
The previous prime is 146800873026679. The next prime is 146800873026727. The reversal of 146800873026720 is 27620378008641.
146800873026720 is a `hidden beast` number, since 1 + 468 + 0 + 0 + 87 + 30 + 2 + 6 + 72 + 0 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (146800873026727) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 134556253375 + ... + 134556254465.
It is an arithmetic number, because the mean of its divisors is an integer number (232027286400).
Almost surely, 2146800873026720 is an apocalyptic number.
146800873026720 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 146800873026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311844672921600).
146800873026720 is an abundant number, since it is smaller than the sum of its proper divisors (476888472816480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146800873026720 is a wasteful number, since it uses less digits than its factorization.
146800873026720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1382 (or 1359 counting only the distinct ones).
The product of its (nonzero) digits is 5419008, while the sum is 54.
The spelling of 146800873026720 in words is "one hundred forty-six trillion, eight hundred billion, eight hundred seventy-three million, twenty-six thousand, seven hundred twenty".
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