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42503594896 = 24723721992
BaseRepresentation
bin100111100101011010…
…010110001110010000
311001201011000100001101
4213211122112032100
51144021410014041
631305331314144
73033164411200
oct474532261620
9131634010041
1042503594896
1117031197a34
1282a244b954
134014970069
1420b2cb6400
15118b6c2b31
hex9e5696390

42503594896 has 135 divisors (see below), whose sum is σ = 98952012369. Its totient is φ = 17634443904.

The previous prime is 42503594893. The next prime is 42503594921. The reversal of 42503594896 is 69849530524.

The square root of 42503594896 is 206164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38032800400 + 4470794496 = 195020^2 + 66864^2 .

It is not an unprimeable number, because it can be changed into a prime (42503594891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213585805 + ... + 213586003.

Almost surely, 242503594896 is an apocalyptic number.

42503594896 is the 206164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42503594896

42503594896 is an abundant number, since it is smaller than the sum of its proper divisors (56448417473).

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

42503594896 is an equidigital number, since it uses as much as digits as its factorization.

42503594896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 42503594896 in words is "forty-two billion, five hundred three million, five hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 199 259 296 392 398 518 592 784 796 1036 1369 1393 1592 1813 2072 2738 2786 3184 3626 4144 5476 5572 7252 7363 9583 9751 10952 11144 14504 14726 19166 19502 21904 22288 29008 29452 38332 39004 39601 51541 58904 67081 76664 78008 79202 103082 117808 134162 153328 156016 158404 206164 268324 272431 277207 316808 360787 412328 536648 544862 554414 633616 721574 824656 1073296 1089724 1108828 1443148 1465237 1907017 1940449 2179448 2217656 2886296 2930474 3814034 3880898 4358896 4435312 5772592 5860948 7628068 7761796 10256659 11721896 13349119 15256136 15523592 20513318 23443792 26698238 30512272 31047184 41026636 53396476 54213769 71796613 82053272 106792952 108427538 143593226 164106544 213585904 216855076 287186452 379496383 433710152 574372904 758992766 867420304 1148745808 1517985532 2656474681 3035971064 5312949362 6071942128 10625898724 21251797448 42503594896