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494598312072 = 2332531217106501
BaseRepresentation
bin1110011001010000101…
…10110101000010001000
31202021122101222112102200
413030220112311002020
531100414131441242
61015114302200200
750506415200134
oct7145026650210
91667571875380
10494598312072
111808379423a7
127ba33b83060
1337843009527
1419d1da7c3c4
15cceb7d304c
hex73285b5088

494598312072 has 96 divisors (see below), whose sum is σ = 1365945661080. Its totient is φ = 161620992000.

The previous prime is 494598312059. The next prime is 494598312127. The reversal of 494598312072 is 270213895494.

494598312072 is a `hidden beast` number, since 49 + 4 + 598 + 3 + 1 + 2 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 494481801636 + 116510436 = 703194^2 + 10794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4590822 + ... + 4697322.

Almost surely, 2494598312072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494598312072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682972830540).

494598312072 is an abundant number, since it is smaller than the sum of its proper divisors (871347349008).

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

494598312072 is a wasteful number, since it uses less digits than its factorization.

494598312072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107783 (or 107776 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 494598312072 in words is "four hundred ninety-four billion, five hundred ninety-eight million, three hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1217 1272 1908 2434 3651 3816 4868 7302 9736 10953 14604 21906 29208 43812 64501 87624 106501 129002 193503 213002 258004 319503 387006 426004 516008 580509 639006 774012 852008 958509 1161018 1278012 1548024 1917018 2322036 2556024 3834036 4644072 5644553 7668072 11289106 16933659 22578212 33867318 45156424 50800977 67734636 101601954 129611717 135469272 203203908 259223434 388835151 406407816 518446868 777670302 1036893736 1166505453 1555340604 2333010906 3110681208 4666021812 6869421001 9332043624 13738842002 20608263003 27477684004 41216526006 54955368008 61824789009 82433052012 123649578018 164866104024 247299156036 494598312072