Base | Representation |
---|---|
bin | 100100110110110101001… |
… | …1111101011110001100000 |
3 | 122221021002002220022001200 |
4 | 1021231222133223301200 |
5 | 1130443223100221030 |
6 | 14435025531401200 |
7 | 1031655062124000 |
oct | 111555237536140 |
9 | 18837062808050 |
10 | 5065553132640 |
11 | 168331a759340 |
12 | 6998a35b3200 |
13 | 2a98ab149350 |
14 | 137261964000 |
15 | 8bb7773bd60 |
hex | 49b6a7ebc60 |
5065553132640 has 1152 divisors, whose sum is σ = 23683435776000. Its totient is φ = 971601039360.
The previous prime is 5065553132597. The next prime is 5065553132641. The reversal of 5065553132640 is 462313555605.
5065553132640 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 553 + 1 + 32 + 64 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5065553132641) 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 191 ways as a sum of consecutive naturals, for example, 70594701 + ... + 70666419.
It is an arithmetic number, because the mean of its divisors is an integer number (20558538000).
Almost surely, 25065553132640 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5065553132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841717888000).
5065553132640 is an abundant number, since it is smaller than the sum of its proper divisors (18617882643360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5065553132640 is a wasteful number, since it uses less digits than its factorization.
5065553132640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71785 (or 71760 counting only the distinct ones).
The product of its (nonzero) digits is 1620000, while the sum is 45.
The spelling of 5065553132640 in words is "five trillion, sixty-five billion, five hundred fifty-three million, one hundred thirty-two thousand, six hundred forty".
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