| Base | Representation |
|---|---|
| bin | 101011000101000000110101… |
| … | …100110110101111111100001 |
| 3 | 220211211020122202211101000000 |
| 4 | 223011000311212311333201 |
| 5 | 144313110044131024400 |
| 6 | 1510540541201050213 |
| 7 | 54623032504601361 |
| oct | 5305006546657741 |
| 9 | 824736582741000 |
| 10 | 189460496736225 |
| 11 | 55405822201100 |
| 12 | 192ba869026969 |
| 13 | 8194081b14a00 |
| 14 | 34add1908a9a1 |
| 15 | 16d8480452600 |
| hex | ac50359b5fe1 |
189460496736225 has 1701 divisors, whose sum is σ = 452854790518473. Its totient is φ = 78490485216000.
The previous prime is 189460496736223. The next prime is 189460496736293. The reversal of 189460496736225 is 522637694064981.
The square root of 189460496736225 is 13764465.
It is a perfect power (a square), and thus also a powerful number.
189460496736225 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 6 + 0 + 496 + 73 + 62 + 2 + 5 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 48833723300769 + 140626773435456 = 6988113^2 + 11858616^2 .
It is not a de Polignac number, because 189460496736225 - 21 = 189460496736223 is a prime.
It is not an unprimeable number, because it can be changed into a prime (189460496736223) by changing a digit.
It is a polite number, since it can be written in 1700 ways as a sum of consecutive naturals, for example, 6111628926960 + ... + 6111628926990.
It is a 1-persistent number, because it is pandigital, but 2⋅189460496736225 = 378920993472450 is not.
Almost surely, 2189460496736225 is an apocalyptic number.
189460496736225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
189460496736225 is the 13764465-th square number.
189460496736225 is the 6882233-rd centered octagonal number.
It is an amenable number.
189460496736225 is an abundant number, since it is smaller than the sum of its proper divisors (263394293782248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189460496736225 is a wasteful number, since it uses less digits than its factorization.
189460496736225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 940584960, while the sum is 72.
The spelling of 189460496736225 in words is "one hundred eighty-nine trillion, four hundred sixty billion, four hundred ninety-six million, seven hundred thirty-six thousand, two hundred twenty-five".
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