| Base | Representation |
|---|---|
| bin | 1000011110000000101… |
| … | …1100110100100000000 |
| 3 | 111220112210121210011100 |
| 4 | 2013200023212210000 |
| 5 | 4340433213334223 |
| 6 | 150501200014400 |
| 7 | 13340334410400 |
| oct | 2074013464400 |
| 9 | 456483553140 |
| 10 | 145495058688 |
| 11 | 56782193061 |
| 12 | 24246001400 |
| 13 | 10949165805 |
| 14 | 708335a800 |
| 15 | 3bb8367043 |
| hex | 21e02e6900 |
145495058688 has 972 divisors, whose sum is σ = 541890475308. Its totient is φ = 37282775040.
The previous prime is 145495058677. The next prime is 145495058759. The reversal of 145495058688 is 886850594541.
145495058688 is a `hidden beast` number, since 1 + 4 + 5 + 49 + 5 + 0 + 586 + 8 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 53438644224 + 92056414464 = 231168^2 + 303408^2 .
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3383605995 + ... + 3383606037.
It is an arithmetic number, because the mean of its divisors is an integer number (557500489).
Almost surely, 2145495058688 is an apocalyptic number.
145495058688 is a gapful number since it is divisible by the number (18) 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 145495058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270945237654).
145495058688 is an abundant number, since it is smaller than the sum of its proper divisors (396395416620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145495058688 is a wasteful number, since it uses less digits than its factorization.
145495058688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 55296000, while the sum is 63.
The spelling of 145495058688 in words is "one hundred forty-five billion, four hundred ninety-five million, fifty-eight thousand, six hundred eighty-eight".
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