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490347261504 = 263216321792
BaseRepresentation
bin1110010001010101111…
…10010110111001000000
31201212200010212210100100
413020222332112321000
531013212344332004
61013132403322400
750266155644532
oct7105276267100
91655603783310
10490347261504
11179a56278171
127b048380400
13373163981a9
1419a39257852
15cb4d4bc739
hex722af96e40

490347261504 has 189 divisors, whose sum is σ = 1422111952443. Its totient is φ = 161538810624.

The previous prime is 490347261499. The next prime is 490347261539. The reversal of 490347261504 is 405162743094.

The square root of 490347261504 is 700248.

It is a perfect power (a square), and thus also a powerful number.

490347261504 is a `hidden beast` number, since 4 + 90 + 34 + 7 + 26 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490347261504.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2739370087 + ... + 2739370265.

Almost surely, 2490347261504 is an apocalyptic number.

490347261504 is the 700248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490347261504

490347261504 is an abundant number, since it is smaller than the sum of its proper divisors (931764690939).

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

490347261504 is an equidigital number, since it uses as much as digits as its factorization.

490347261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 490347261504 in words is "four hundred ninety billion, three hundred forty-seven million, two hundred sixty-one thousand, five hundred four".