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494256331152 = 24326317543349
BaseRepresentation
bin1110011000100111111…
…10010001100110010000
31202020202120111002210200
413030103332101212100
531044214110044102
61015020324255200
750465063332203
oct7142376214620
91666676432720
10494256331152
111806818a5041
127b959541500
13377ba20035c
1419cca49b93a
15cccb78051c
hex7313f91990

494256331152 has 60 divisors (see below), whose sum is σ = 1383452775900. Its totient is φ = 164725726464.

The previous prime is 494256331099. The next prime is 494256331159. The reversal of 494256331152 is 251133652494.

494256331152 is a `hidden beast` number, since 4 + 9 + 4 + 2 + 5 + 633 + 1 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230261780736 + 263994550416 = 479856^2 + 513804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 494256331098 and 494256331107.

It is not an unprimeable number, because it can be changed into a prime (494256331159) 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 11 ways as a sum of consecutive naturals, for example, 637974 + ... + 1181322.

It is an arithmetic number, because the mean of its divisors is an integer number (23057546265).

Almost surely, 2494256331152 is an apocalyptic number.

It is an amenable number.

494256331152 is an abundant number, since it is smaller than the sum of its proper divisors (889196444748).

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

494256331152 is a wasteful number, since it uses less digits than its factorization.

494256331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549680 (or 549671 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 494256331152 in words is "four hundred ninety-four billion, two hundred fifty-six million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6317 12634 18951 25268 37902 50536 56853 75804 101072 113706 151608 227412 303216 454824 543349 909648 1086698 1630047 2173396 3260094 4346792 4890141 6520188 8693584 9780282 13040376 19560564 26080752 39121128 78242256 3432335633 6864671266 10297006899 13729342532 20594013798 27458685064 30891020697 41188027596 54917370128 61782041394 82376055192 123564082788 164752110384 247128165576 494256331152