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482679416960 = 275131719434177
BaseRepresentation
bin1110000011000011110…
…11110110100010000000
31201010212202110221001222
413001201323312202000
530402011412320320
61005423451014212
746605150230606
oct7014173664200
91633782427058
10482679416960
11176780a47064
127966843a368
1336693900c80
141950cb33876
15c850233825
hex7061ef6880

482679416960 has 512 divisors, whose sum is σ = 1417565318400. Its totient is φ = 155175616512.

The previous prime is 482679416927. The next prime is 482679416969. The reversal of 482679416960 is 69614976284.

It is a junction number, because it is equal to n+sod(n) for n = 482679416893 and 482679416902.

It is not an unprimeable number, because it can be changed into a prime (482679416969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115554392 + ... + 115558568.

Almost surely, 2482679416960 is an apocalyptic number.

482679416960 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 482679416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708782659200).

482679416960 is an abundant number, since it is smaller than the sum of its proper divisors (934885901440).

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

482679416960 is a wasteful number, since it uses less digits than its factorization.

482679416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 482679416960 in words is "four hundred eighty-two billion, six hundred seventy-nine million, four hundred sixteen thousand, nine hundred sixty".