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482195266560 = 210325719241101
BaseRepresentation
bin1110000010001010001…
…00111101110000000000
31201002122000110112120200
413001011010331300000
530400013442012220
61005303434005200
746560151065450
oct7010504756000
91632560415520
10482195266560
11176552725767
1279552276800
1336617508147
14194a4705d60
15c82299b890
hex704513dc00

482195266560 has 1584 divisors, whose sum is σ = 2084859870912. Its totient is φ = 100859904000.

The previous prime is 482195266549. The next prime is 482195266561. The reversal of 482195266560 is 65662591284.

482195266560 is a `hidden beast` number, since 4 + 8 + 2 + 19 + 5 + 2 + 66 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 482195266497 and 482195266506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482195266561) 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, 4774210510 + ... + 4774210610.

Almost surely, 2482195266560 is an apocalyptic number.

482195266560 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 482195266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042429935456).

482195266560 is an abundant number, since it is smaller than the sum of its proper divisors (1602664604352).

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

482195266560 is a wasteful number, since it uses less digits than its factorization.

482195266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 482195266560 in words is "four hundred eighty-two billion, one hundred ninety-five million, two hundred sixty-six thousand, five hundred sixty".