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491453809367040 = 21134513180125307
BaseRepresentation
bin110111110111110011000000…
…1101110110001100000000000
32101110002112011222011020220000
41233233212001232301200000
51003403434400144221130
64501122432504520000
7205342236353234412
oct15757460156614000
92343075158136800
10491453809367040
11132657432238a13
124715305a480000
131812bb84178bb0
1489506c41569b2
153bc3c94b2b260
hex1bef981bb1800

491453809367040 has 960 divisors, whose sum is σ = 1898152821845280. Its totient is φ = 120901297766400.

The previous prime is 491453809367033. The next prime is 491453809367047. The reversal of 491453809367040 is 40763908354194.

491453809367040 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 538 + 0 + 93 + 6 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (491453809367033) and next prime (491453809367047).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491453809367047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19419666067 + ... + 19419691373.

Almost surely, 2491453809367040 is an apocalyptic number.

491453809367040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491453809367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949076410922640).

491453809367040 is an abundant number, since it is smaller than the sum of its proper divisors (1406699012478240).

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

491453809367040 is a wasteful number, since it uses less digits than its factorization.

491453809367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27160 (or 27131 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 491453809367040 in words is "four hundred ninety-one trillion, four hundred fifty-three billion, eight hundred nine million, three hundred sixty-seven thousand, forty".