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482363840520 = 23325172941151439
BaseRepresentation
bin1110000010011110010…
…00000001100000001000
31201010001202122222120200
413001033020001200020
530400340120344040
61005332255052200
746564265664642
oct7011710014010
91633052588520
10482363840520
111766298a3891
127959a811060
133664340b353
14194bcc67892
15c832699630
hex704f201808

482363840520 has 768 divisors, whose sum is σ = 1774700928000. Its totient is φ = 113025024000.

The previous prime is 482363840513. The next prime is 482363840527. The reversal of 482363840520 is 25048363284.

482363840520 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 638 + 4 + 0 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (482363840513) and next prime (482363840527).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482363840527) 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, 1098778461 + ... + 1098778899.

It is an arithmetic number, because the mean of its divisors is an integer number (2310808500).

Almost surely, 2482363840520 is an apocalyptic number.

482363840520 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 482363840520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887350464000).

482363840520 is an abundant number, since it is smaller than the sum of its proper divisors (1292337087480).

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

482363840520 is a wasteful number, since it uses less digits than its factorization.

482363840520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 482363840520 in words is "four hundred eighty-two billion, three hundred sixty-three million, eight hundred forty thousand, five hundred twenty".