| Base | Representation |
|---|---|
| bin | 101010000010111010… |
| … | …010000000001010000 |
| 3 | 11022112022010110100200 |
| 4 | 222002322100001100 |
| 5 | 1214424332343013 |
| 6 | 32423443015200 |
| 7 | 3155521335612 |
| oct | 520272200120 |
| 9 | 138468113320 |
| 10 | 45145981008 |
| 11 | 18167802807 |
| 12 | 88bb36a500 |
| 13 | 434623393b |
| 14 | 2283bccdb2 |
| 15 | 1293676e73 |
| hex | a82e90050 |
45145981008 has 360 divisors, whose sum is σ = 136813196520. Its totient is φ = 13884825600.
The previous prime is 45145981007. The next prime is 45145981009. The reversal of 45145981008 is 80018954154.
It is a happy number.
45145981008 is a `hidden beast` number, since 4 + 51 + 4 + 598 + 1 + 0 + 0 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (45145981007) and next prime (45145981009).
It can be written as a sum of positive squares in 4 ways, for example, as 2673717264 + 42472263744 = 51708^2 + 206088^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45145981007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414183258 + ... + 414183366.
It is an arithmetic number, because the mean of its divisors is an integer number (380036657).
Almost surely, 245145981008 is an apocalyptic number.
45145981008 is a gapful number since it is divisible by the number (48) 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 45145981008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68406598260).
45145981008 is an abundant number, since it is smaller than the sum of its proper divisors (91667215512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45145981008 is a wasteful number, since it uses less digits than its factorization.
45145981008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 259 counting only the distinct ones).
The product of its (nonzero) digits is 230400, while the sum is 45.
The spelling of 45145981008 in words is "forty-five billion, one hundred forty-five million, nine hundred eighty-one thousand, eight".
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