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48359336256 = 26337112193747
BaseRepresentation
bin101101000010011100…
…001110100101000000
311121211020121211002000
4231002130032211000
51243014442230011
634114352224000
73331250401350
oct550234164500
9147736554060
1048359336256
1119566648100
12945753b000
134738b9a28a
1424aa892b60
1513d0812356
hexb4270e940

48359336256 has 1344 divisors, whose sum is σ = 197178777600. Its totient is φ = 11331809280.

The previous prime is 48359336239. The next prime is 48359336269. The reversal of 48359336256 is 65263395384.

48359336256 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 9 + 3 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1028922025 + ... + 1028922071.

It is an arithmetic number, because the mean of its divisors is an integer number (146710400).

Almost surely, 248359336256 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 48359336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98589388800).

48359336256 is an abundant number, since it is smaller than the sum of its proper divisors (148819441344).

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

48359336256 is a wasteful number, since it uses less digits than its factorization.

48359336256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 48359336256 in words is "forty-eight billion, three hundred fifty-nine million, three hundred thirty-six thousand, two hundred fifty-six".