Base | Representation |
---|---|
bin | 101000100110000100000… |
… | …0111111100000000000000 |
3 | 201202101010221001002000220 |
4 | 1101030020013330000000 |
5 | 1212402400444103000 |
6 | 15511032224343040 |
7 | 1114043140311060 |
oct | 121141007740000 |
9 | 21671127032026 |
10 | 5579298816000 |
11 | 1861192803128 |
12 | 76137ba74a80 |
13 | 316182cb1870 |
14 | 15407a57d3a0 |
15 | 9a1e4eba1a0 |
hex | 513081fc000 |
5579298816000 has 1920 divisors, whose sum is σ = 24237572696064. Its totient is φ = 1106037964800.
The previous prime is 5579298815999. The next prime is 5579298816001. The reversal of 5579298816000 is 6188929755.
It is an interprime number because it is at equal distance from previous prime (5579298815999) and next prime (5579298816001).
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×55792988160002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5579298816001) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 9504767707 + ... + 9504768293.
Almost surely, 25579298816000 is an apocalyptic number.
5579298816000 is a gapful number since it is divisible by the number (50) 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 5579298816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118786348032).
5579298816000 is an abundant number, since it is smaller than the sum of its proper divisors (18658273880064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5579298816000 is a wasteful number, since it uses less digits than its factorization.
5579298816000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 670 (or 634 counting only the distinct ones).
The product of its (nonzero) digits is 10886400, while the sum is 60.
The spelling of 5579298816000 in words is "five trillion, five hundred seventy-nine billion, two hundred ninety-eight million, eight hundred sixteen thousand".
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