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494045236224 = 210363137577
BaseRepresentation
bin1110011000001110110…
…01000000110000000000
31202020012212021101000000
413030013121000300000
531043301040024344
61014543344000000
750456621135121
oct7140731006000
91666185241000
10494045236224
11180583724321
127b8ba900000
1337785560007
1419caa42c048
15ccb7e83a69
hex7307640c00

494045236224 has 616 divisors, whose sum is σ = 1572531732608. Its totient is φ = 154793410560.

The previous prime is 494045236219. The next prime is 494045236231. The reversal of 494045236224 is 422632540494.

494045236224 is a `hidden beast` number, since 4 + 9 + 40 + 4 + 523 + 62 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 494045236224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 856230624 + ... + 856231200.

Almost surely, 2494045236224 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 494045236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786265866304).

494045236224 is an abundant number, since it is smaller than the sum of its proper divisors (1078486496384).

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

494045236224 is an equidigital number, since it uses as much as digits as its factorization.

494045236224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 494045236224 in words is "four hundred ninety-four billion, forty-five million, two hundred thirty-six thousand, two hundred twenty-four".