| Base | Representation |
|---|---|
| bin | 1000011111010100110… |
| … | …0011110101010010000 |
| 3 | 111221110101000020122100 |
| 4 | 2013311030132222100 |
| 5 | 4342143442010000 |
| 6 | 151000152240400 |
| 7 | 13352145141651 |
| oct | 2076514365220 |
| 9 | 457411006570 |
| 10 | 145847610000 |
| 11 | 569431a0084 |
| 12 | 243240a0100 |
| 13 | 109a4203061 |
| 14 | 70b80cd528 |
| 15 | 3bd92a6a00 |
| hex | 21f531ea90 |
145847610000 has 675 divisors, whose sum is σ = 546462147231. Its totient is φ = 36295776000.
The previous prime is 145847609987. The next prime is 145847610001. The reversal of 145847610000 is 16748541.
It is a happy number.
The square root of 145847610000 is 381900.
It is a perfect power (a square), and thus also a powerful number.
145847610000 is a `hidden beast` number, since 1 + 4 + 584 + 76 + 1 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 11434452624 + 134413157376 = 106932^2 + 366624^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (145847610001) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2176829967 + ... + 2176830033.
Almost surely, 2145847610000 is an apocalyptic number.
145847610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
145847610000 is the 381900-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 145847610000
145847610000 is an abundant number, since it is smaller than the sum of its proper divisors (400614537231).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145847610000 is an equidigital number, since it uses as much as digits as its factorization.
145847610000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
Multiplying 145847610000 by its sum of digits (36), we get a square (5250513960000 = 22914002).
145847610000 divided by its sum of digits (36) gives a square (4051322500 = 636502).
The spelling of 145847610000 in words is "one hundred forty-five billion, eight hundred forty-seven million, six hundred ten thousand".
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