Base | Representation |
---|---|
bin | 10010100100011000… |
… | …011000000000100001 |
3 | 1220110111100020110000 |
4 | 102210120120000201 |
5 | 311313024104101 |
6 | 13054222330213 |
7 | 1304034562362 |
oct | 224430300041 |
9 | 56414306400 |
10 | 19937722401 |
11 | 8501362a33 |
12 | 3a45129969 |
13 | 1b5981109c |
14 | d71d13b69 |
15 | 7ba568486 |
hex | 4a4618021 |
19937722401 has 45 divisors (see below), whose sum is σ = 30903065193. Its totient is φ = 12809754720.
The previous prime is 19937722393. The next prime is 19937722471. The reversal of 19937722401 is 10422773991.
The square root of 19937722401 is 141201.
It is a perfect power (a square), and thus also a powerful number.
19937722401 is a `hidden beast` number, since 199 + 37 + 7 + 22 + 401 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 124344801 + 19813377600 = 11151^2 + 140760^2 .
It is not a de Polignac number, because 19937722401 - 23 = 19937722393 is a prime.
It is not an unprimeable number, because it can be changed into a prime (19937722471) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36853191 + ... + 36853731.
Almost surely, 219937722401 is an apocalyptic number.
19937722401 is the 141201-st square number.
19937722401 is the 70601-st centered octagonal number.
It is an amenable number.
19937722401 is a deficient number, since it is larger than the sum of its proper divisors (10965342792).
19937722401 is an frugal number, since it uses more digits than its factorization.
19937722401 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1152 (or 573 counting only the distinct ones).
The product of its (nonzero) digits is 190512, while the sum is 45.
The spelling of 19937722401 in words is "nineteen billion, nine hundred thirty-seven million, seven hundred twenty-two thousand, four hundred one".
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