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482669422560 = 25355131098761
BaseRepresentation
bin1110000011000010101…
…01101110011111100000
31201010212001200011100000
413001201111232133200
530402001333010220
61005422452500000
746604666253453
oct7014125563740
91633761604300
10482669422560
11176776340126
127966501a600
1336691811b20
141950b69149a
15c84e40c390
hex706156e7e0

482669422560 has 576 divisors, whose sum is σ = 1856594900160. Its totient is φ = 117707489280.

The previous prime is 482669422519. The next prime is 482669422577. The reversal of 482669422560 is 65224966284.

482669422560 is a `hidden beast` number, since 48 + 266 + 94 + 2 + 256 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 482669422497 and 482669422506.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 55088580 + ... + 55097340.

It is an arithmetic number, because the mean of its divisors is an integer number (3223255035).

Almost surely, 2482669422560 is an apocalyptic number.

482669422560 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 482669422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928297450080).

482669422560 is an abundant number, since it is smaller than the sum of its proper divisors (1373925477600).

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

482669422560 is a wasteful number, since it uses less digits than its factorization.

482669422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 482669422560 in words is "four hundred eighty-two billion, six hundred sixty-nine million, four hundred twenty-two thousand, five hundred sixty".