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482405417472 = 29311229374159
BaseRepresentation
bin1110000010100011001…
…10101000001000000000
31201010011122220022102210
413001101212220020000
530400431241324342
61005340342142120
746565312251356
oct7012146501000
91633148808383
10482405417472
11176650311200
12795b0721940
133664bc078b4
14194c45ab7d6
15c83615d79c
hex70519a8200

482405417472 has 960 divisors, whose sum is σ = 1563481180800. Its totient is φ = 131707699200.

The previous prime is 482405417467. The next prime is 482405417489. The reversal of 482405417472 is 274714504284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8176362979 + ... + 8176363037.

It is an arithmetic number, because the mean of its divisors is an integer number (1628626230).

Almost surely, 2482405417472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482405417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781740590400).

482405417472 is an abundant number, since it is smaller than the sum of its proper divisors (1081075763328).

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

482405417472 is a wasteful number, since it uses less digits than its factorization.

482405417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 482405417472 in words is "four hundred eighty-two billion, four hundred five million, four hundred seventeen thousand, four hundred seventy-two".