| Base | Representation |
|---|---|
| bin | 111111101101000… |
| … | …0101011111000000 |
| 3 | 12111222011112000000 |
| 4 | 1333122011133000 |
| 5 | 13334202412030 |
| 6 | 552035000000 |
| 7 | 103653554400 |
| oct | 17732053700 |
| 9 | 5458145000 |
| 10 | 2137544640 |
| 11 | 9a7651a20 |
| 12 | 4b7a39000 |
| 13 | 280b04c1a |
| 14 | 163c60800 |
| 15 | c79d1860 |
| hex | 7f6857c0 |
2137544640 has 1176 divisors, whose sum is σ = 10254246192. Its totient is φ = 418037760.
The previous prime is 2137544611. The next prime is 2137544677. The reversal of 2137544640 is 464457312.
2137544640 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 4 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1176).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2137544595 and 2137544604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737912 + ... + 125737928.
It is a vampire number, since it can be written as 45360 ⋅ 47124 (with its own digits).
Almost surely, 22137544640 is an apocalyptic number.
2137544640 is a gapful number since it is divisible by the number (20) 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 2137544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127123096).
2137544640 is an abundant number, since it is smaller than the sum of its proper divisors (8116701552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137544640 is a wasteful number, since it uses less digits than its factorization.
2137544640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77 (or 45 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The square root of 2137544640 is about 46233.5877906961. The cubic root of 2137544640 is about 1288.1657001690.
The spelling of 2137544640 in words is "two billion, one hundred thirty-seven million, five hundred forty-four thousand, six hundred forty".
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