Base | Representation |
---|---|
bin | 10100111010101001010100… |
… | …11001011111100000000000 |
3 | 20000212010110121012202210000 |
4 | 22131110222121133200000 |
5 | 22012042304110123220 |
6 | 241454014241440000 |
7 | 12455031524034030 |
oct | 1235245231374000 |
9 | 200763417182700 |
10 | 45995516098560 |
11 | 13723652811a56 |
12 | 51aa2a5340000 |
13 | 1c88487999432 |
14 | b502a298d8c0 |
15 | 54b6b01e6390 |
hex | 29d52a65f800 |
45995516098560 has 1920 divisors, whose sum is σ = 195274944184320. Its totient is φ = 10133235302400.
The previous prime is 45995516098531. The next prime is 45995516098589. The reversal of 45995516098560 is 6589061559954.
It is a happy number.
45995516098560 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 5 + 5 + 1 + 609 + 8 + 5 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (45995516098531) and next prime (45995516098589).
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75775149777 + ... + 75775150383.
It is an arithmetic number, because the mean of its divisors is an integer number (101705700096).
Almost surely, 245995516098560 is an apocalyptic number.
45995516098560 is a gapful number since it is divisible by the number (40) 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 45995516098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97637472092160).
45995516098560 is an abundant number, since it is smaller than the sum of its proper divisors (149279428085760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45995516098560 is a wasteful number, since it uses less digits than its factorization.
45995516098560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1105 (or 1076 counting only the distinct ones).
The product of its (nonzero) digits is 524880000, while the sum is 72.
The spelling of 45995516098560 in words is "forty-five trillion, nine hundred ninety-five billion, five hundred sixteen million, ninety-eight thousand, five hundred sixty".
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