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490191680592 = 243219131779461
BaseRepresentation
bin1110010001000011011…
…00110111010001010000
31201212021022010110110100
413020201230313101100
531012403032234332
61013105124532400
750262256352055
oct7104154672120
91655238113410
10490191680592
111799864739a9
127b004251100
13372c0093c93
1419a2271902c
15cb3e9d967c
hex7221b37450

490191680592 has 60 divisors (see below), whose sum is σ = 1372573778004. Its totient is φ = 163311720960.

The previous prime is 490191680581. The next prime is 490191680593. The reversal of 490191680592 is 295086191094.

490191680592 is a `hidden beast` number, since 49 + 0 + 1 + 9 + 1 + 6 + 8 + 0 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238745595456 + 251446085136 = 488616^2 + 501444^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490191680593) 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 11 ways as a sum of consecutive naturals, for example, 614259 + ... + 1165202.

Almost surely, 2490191680592 is an apocalyptic number.

It is an amenable number.

490191680592 is an abundant number, since it is smaller than the sum of its proper divisors (882382097412).

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

490191680592 is a wasteful number, since it uses less digits than its factorization.

490191680592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781388 (or 1781379 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 490191680592 in words is "four hundred ninety billion, one hundred ninety-one million, six hundred eighty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1913 3826 5739 7652 11478 15304 17217 22956 30608 34434 45912 68868 91824 137736 275472 1779461 3558922 5338383 7117844 10676766 14235688 16015149 21353532 28471376 32030298 42707064 64060596 85414128 128121192 256242384 3404108893 6808217786 10212326679 13616435572 20424653358 27232871144 30636980037 40849306716 54465742288 61273960074 81698613432 122547920148 163397226864 245095840296 490191680592