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48039447456 = 253271113712347
BaseRepresentation
bin101100101111010111…
…111100101110100000
311120222221200210010200
4230233113330232200
51241341044304311
634022524025200
73320314365060
oct545727745640
9146887623120
1048039447456
11194120199a0
129388392200
1346b7827870
14247a1c33a0
1513b26c5556
hexb2f5fcba0

48039447456 has 576 divisors, whose sum is σ = 186086025216. Its totient is φ = 11350886400.

The previous prime is 48039447419. The next prime is 48039447523. The reversal of 48039447456 is 65474493084.

48039447456 is a `hidden beast` number, since 4 + 80 + 3 + 94 + 474 + 5 + 6 = 666.

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, 20467275 + ... + 20469621.

It is an arithmetic number, because the mean of its divisors is an integer number (323066016).

Almost surely, 248039447456 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 48039447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93043012608).

48039447456 is an abundant number, since it is smaller than the sum of its proper divisors (138046577760).

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

48039447456 is a wasteful number, since it uses less digits than its factorization.

48039447456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 48039447456 in words is "forty-eight billion, thirty-nine million, four hundred forty-seven thousand, four hundred fifty-six".