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490295310336 = 21133131753757
BaseRepresentation
bin1110010001001111110…
…00001011100000000000
31201212112112010101202000
413020213320023200000
531013111044412321
61013123310024000
750264655242436
oct7104770134000
91655475111660
10490295310336
11179a29a14517
127b032aa8000
13373086a8960
1419a323b2d56
15cb48b59826
hex7227e0b800

490295310336 has 768 divisors, whose sum is σ = 1689574723200. Its totient is φ = 139122966528.

The previous prime is 490295310301. The next prime is 490295310359. The reversal of 490295310336 is 633013592094.

490295310336 is a `hidden beast` number, since 4 + 90 + 29 + 531 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 490295310291 and 490295310300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647681670 + ... + 647682426.

Almost surely, 2490295310336 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 490295310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844787361600).

490295310336 is an abundant number, since it is smaller than the sum of its proper divisors (1199279412864).

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

490295310336 is a wasteful number, since it uses less digits than its factorization.

490295310336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 490295310336 in words is "four hundred ninety billion, two hundred ninety-five million, three hundred ten thousand, three hundred thirty-six".