| Base | Representation |
|---|---|
| bin | 1001101001001110… |
| … | …01110001000000000 |
| 3 | 111100211200120202100 |
| 4 | 10310213032020000 |
| 5 | 41100440222000 |
| 6 | 2213435150400 |
| 7 | 242210263215 |
| oct | 46447161000 |
| 9 | 14324616670 |
| 10 | 5177664000 |
| 11 | 2217724663 |
| 12 | 1005ba5400 |
| 13 | 6468c5412 |
| 14 | 37190bb0c |
| 15 | 20484ca00 |
| hex | 1349ce200 |
5177664000 has 480 divisors, whose sum is σ = 19045231920. Its totient is φ = 1351680000.
The previous prime is 5177663999. The next prime is 5177664001. The reversal of 5177664000 is 4667715.
5177664000 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 6 + 640 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (5177663999) and next prime (5177664001).
It can be written as a sum of positive squares in 8 ways, for example, as 472801536 + 4704862464 = 21744^2 + 68592^2 .
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (5177664001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51263950 + ... + 51264050.
Almost surely, 25177664000 is an apocalyptic number.
5177664000 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 5177664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522615960).
5177664000 is an abundant number, since it is smaller than the sum of its proper divisors (13867567920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5177664000 is a wasteful number, since it uses less digits than its factorization.
5177664000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The square root of 5177664000 is about 71955.9865473332. The cubic root of 5177664000 is about 1729.9940971209.
The spelling of 5177664000 in words is "five billion, one hundred seventy-seven million, six hundred sixty-four thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •