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482297233746240 = 263351137216692221
BaseRepresentation
bin110110110101001011001001…
…1010010110010100101000000
32100020200011110110200202201000
41231222112103102302211000
51001203424213314334430
64425432142423212000
7203405553026525553
oct15552262322624500
92306604413622630
10482297233746240
1112a747120a94490
12461145278a7000
131791658462cb93
14871544c67269a
153ab59d0432e60
hex1b6a5934b2940

482297233746240 has 1344 divisors, whose sum is σ = 1909637049196800. Its totient is φ = 113641176268800.

The previous prime is 482297233746233. The next prime is 482297233746241. The reversal of 482297233746240 is 42647332792284.

482297233746240 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 97 + 233 + 74 + 6 + 240 = 666.

It is a super-2 number, since 2×4822972337462402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482297233746241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217153188330 + ... + 217153190550.

It is an arithmetic number, because the mean of its divisors is an integer number (1420860899700).

Almost surely, 2482297233746240 is an apocalyptic number.

482297233746240 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 482297233746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954818524598400).

482297233746240 is an abundant number, since it is smaller than the sum of its proper divisors (1427339815450560).

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

482297233746240 is a wasteful number, since it uses less digits than its factorization.

482297233746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 482297233746240 in words is "four hundred eighty-two trillion, two hundred ninety-seven billion, two hundred thirty-three million, seven hundred forty-six thousand, two hundred forty".