Search a number
-
+
9192828202020 = 22325226372256097
BaseRepresentation
bin1000010111000101111101…
…0000100110110000100100
31012112211022000002102112100
42011301133100212300210
52201103403004431040
631315043232052100
71636105565305251
oct205613720466044
935484260072470
109192828202020
112a24724955361
12104576b694030
13518b59414408
1423ad144ca428
1510e1d71edb30
hex85c5f426c24

9192828202020 has 72 divisors (see below), whose sum is σ = 27886156402104. Its totient is φ = 2451311474688.

The previous prime is 9192828201961. The next prime is 9192828202021. The reversal of 9192828202020 is 202028282919.

9192828202020 is a `hidden beast` number, since 91 + 9 + 282 + 82 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1049932214244 + 8142895987776 = 1024662^2 + 2853576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9192828202021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2946612 + ... + 5202708.

It is an arithmetic number, because the mean of its divisors is an integer number (387307727807).

Almost surely, 29192828202020 is an apocalyptic number.

9192828202020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9192828202020 is an abundant number, since it is smaller than the sum of its proper divisors (18693328200084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9192828202020 is a wasteful number, since it uses less digits than its factorization.

9192828202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278749 (or 2278744 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 9192828202020 in words is "nine trillion, one hundred ninety-two billion, eight hundred twenty-eight million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22637 45274 67911 90548 113185 135822 203733 226370 271644 339555 407466 452740 679110 814932 1018665 1358220 2037330 2256097 4074660 4512194 6768291 9024388 11280485 13536582 20304873 22560970 27073164 33841455 40609746 45121940 67682910 81219492 101524365 135365820 203048730 406097460 51071267789 102142535578 153213803367 204285071156 255356338945 306427606734 459641410101 510712677890 612855213468 766069016835 919282820202 1021425355780 1532138033670 1838565640404 2298207050505 3064276067340 4596414101010 9192828202020