Base | Representation |
---|---|
bin | 10011000100011000… |
… | …111101110011000100 |
3 | 1221211220211222012201 |
4 | 103010120331303010 |
5 | 313413013414400 |
6 | 13223404524244 |
7 | 1323245326102 |
oct | 230430756304 |
9 | 57756758181 |
10 | 20474748100 |
11 | 8757509324 |
12 | 3b74b50684 |
13 | 1c13b5ac81 |
14 | dc3386c72 |
15 | 7ec79706a |
hex | 4c463dcc4 |
20474748100 has 81 divisors (see below), whose sum is σ = 45671159541. Its totient is φ = 7967251200.
The previous prime is 20474748089. The next prime is 20474748139. The reversal of 20474748100 is 184747402.
The square root of 20474748100 is 143090.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 18412861636 + 2061886464 = 135694^2 + 45408^2 .
It is a super-2 number, since 2×204747481002 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 20474748100.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58666726 + ... + 58667074.
Almost surely, 220474748100 is an apocalyptic number.
20474748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
20474748100 is the 143090-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20474748100
20474748100 is an abundant number, since it is smaller than the sum of its proper divisors (25196411441).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20474748100 is an equidigital number, since it uses as much as digits as its factorization.
20474748100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 794 (or 397 counting only the distinct ones).
The product of its (nonzero) digits is 50176, while the sum is 37.
The spelling of 20474748100 in words is "twenty billion, four hundred seventy-four million, seven hundred forty-eight thousand, one hundred".
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