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482917675968 = 263271371129763
BaseRepresentation
bin1110000011100000010…
…00101111001111000000
31201011111100210201222200
413001300020233033000
530403003411112333
61005503241433200
746614102342360
oct7016010571700
91634440721880
10482917675968
11176893490632
127971419b800
1336701092530
14195326349a0
15c8660e8c13
hex707022f3c0

482917675968 has 336 divisors, whose sum is σ = 1727634295296. Its totient is φ = 125568092160.

The previous prime is 482917675949. The next prime is 482917675987. The reversal of 482917675968 is 869576719284.

482917675968 is a `hidden beast` number, since 4 + 8 + 29 + 1 + 7 + 6 + 7 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (482917675949) and next prime (482917675987).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 482917675896 and 482917675905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3656655 + ... + 3786417.

It is an arithmetic number, because the mean of its divisors is an integer number (5141768736).

Almost surely, 2482917675968 is an apocalyptic number.

482917675968 is a gapful number since it is divisible by the number (48) 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 482917675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863817147648).

482917675968 is an abundant number, since it is smaller than the sum of its proper divisors (1244716619328).

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

482917675968 is a wasteful number, since it uses less digits than its factorization.

482917675968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129872 (or 129859 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 482917675968 in words is "four hundred eighty-two billion, nine hundred seventeen million, six hundred seventy-five thousand, nine hundred sixty-eight".