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48180485760 = 27351119120067
BaseRepresentation
bin101100110111110001…
…111101111010000000
311121100210002021022120
4230313301331322000
51242133201021020
634044523004240
73323646241341
oct546761757200
9147323067276
1048180485760
11194846a0080
129407669680
13470ab09694
142490c180c8
1513bec84740
hexb37c7de80

48180485760 has 256 divisors, whose sum is σ = 176355878400. Its totient is φ = 11065282560.

The previous prime is 48180485747. The next prime is 48180485803. The reversal of 48180485760 is 6758408184.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341247 + ... + 461313.

It is an arithmetic number, because the mean of its divisors is an integer number (688890150).

Almost surely, 248180485760 is an apocalyptic number.

48180485760 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 48180485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88177939200).

48180485760 is an abundant number, since it is smaller than the sum of its proper divisors (128175392640).

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

48180485760 is a wasteful number, since it uses less digits than its factorization.

48180485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120119 (or 120107 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 48180485760 in words is "forty-eight billion, one hundred eighty million, four hundred eighty-five thousand, seven hundred sixty".