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482763939840 = 213355713241
BaseRepresentation
bin1110000011001101111…
…10010010000000000000
31201011002122112010200000
413001212332102000000
530402200032033330
61005440110400000
746610224532160
oct7014676220000
91634078463600
10482763939840
11176814727386
1279690800000
13366a8285c00
141951a0565a0
15c85787c560
hex7066f92000

482763939840 has 2016 divisors, whose sum is σ = 2200069662336. Its totient is φ = 99373547520.

The previous prime is 482763939829. The next prime is 482763939841. The reversal of 482763939840 is 48939367284.

482763939840 is a `hidden beast` number, since 482 + 7 + 63 + 9 + 3 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×4827639398402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (482763939841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11774730220 + ... + 11774730260.

It is an arithmetic number, because the mean of its divisors is an integer number (1091304396).

Almost surely, 2482763939840 is an apocalyptic number.

482763939840 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 482763939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100034831168).

482763939840 is an abundant number, since it is smaller than the sum of its proper divisors (1717305722496).

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

482763939840 is an equidigital number, since it uses as much as digits as its factorization.

482763939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 482763939840 in words is "four hundred eighty-two billion, seven hundred sixty-three million, nine hundred thirty-nine thousand, eight hundred forty".