Search a number
-
+
490558091904 = 2732425831677
BaseRepresentation
bin1110010001101111000…
…10100111001010000000
31201220012211121002021200
413020313202213022000
531014130332420104
61013205334221200
750304325660446
oct7106742471200
91656184532250
10490558091904
1117a054288171
127b0a6ab4800
133734ac74cca
1419a59258b96
15cb61c65b39
hex72378a7280

490558091904 has 48 divisors (see below), whose sum is σ = 1411632012570. Its totient is φ = 163519363584.

The previous prime is 490558091813. The next prime is 490558091923. The reversal of 490558091904 is 409190855094.

490558091904 is a `hidden beast` number, since 49 + 0 + 5 + 580 + 9 + 19 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 490347261504 + 210830400 = 700248^2 + 14520^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 212914687 + ... + 212916990.

Almost surely, 2490558091904 is an apocalyptic number.

It is an amenable number.

490558091904 is an abundant number, since it is smaller than the sum of its proper divisors (921073920666).

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

490558091904 is a wasteful number, since it uses less digits than its factorization.

490558091904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425831697 (or 425831682 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 490558091904 in words is "four hundred ninety billion, five hundred fifty-eight million, ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 425831677 851663354 1277495031 1703326708 2554990062 3406653416 3832485093 5109980124 6813306832 7664970186 10219960248 13626613664 15329940372 20439920496 27253227328 30659880744 40879840992 54506454656 61319761488 81759681984 122639522976 163519363968 245279045952 490558091904