| Base | Representation |
|---|---|
| bin | 1001111100100100001000… |
| … | …11111100100100100010000 |
| 3 | 2212102221221222011202001100 |
| 4 | 10332102010133210210100 |
| 5 | 10331323224230334414 |
| 6 | 114303540455104400 |
| 7 | 4415133262236114 |
| oct | 476220437444420 |
| 9 | 85387858152040 |
| 10 | 21872196339984 |
| 11 | 6a72a45699501 |
| 12 | 2552b8a372100 |
| 13 | c287019c3033 |
| 14 | 558897209744 |
| 15 | 27de2cc47609 |
| hex | 13e4847e4910 |
21872196339984 has 405 divisors, whose sum is σ = 64543035927279. Its totient is φ = 6914139724800.
The previous prime is 21872196339953. The next prime is 21872196340021. The reversal of 21872196339984 is 48993369127812.
The square root of 21872196339984 is 4676772.
It is a perfect power (a square), and thus also a powerful number.
21872196339984 is a `hidden beast` number, since 2 + 1 + 8 + 72 + 1 + 96 + 3 + 399 + 84 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2002711789584 + 19869484550400 = 1415172^2 + 4457520^2 .
It is a super-3 number, since 3×218721963399843 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 144848982309 + ... + 144848982459.
Almost surely, 221872196339984 is an apocalyptic number.
21872196339984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
21872196339984 is the 4676772-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21872196339984
21872196339984 is an abundant number, since it is smaller than the sum of its proper divisors (42670839587295).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21872196339984 is an equidigital number, since it uses as much as digits as its factorization.
21872196339984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 552 (or 274 counting only the distinct ones).
The product of its digits is 282175488, while the sum is 72.
The spelling of 21872196339984 in words is "twenty-one trillion, eight hundred seventy-two billion, one hundred ninety-six million, three hundred thirty-nine thousand, nine hundred eighty-four".
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