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48025493568 = 26361379181
BaseRepresentation
bin101100101110100010…
…101110000001000000
311120221222102212000000
4230232202232001000
51241324011243233
634021305000000
73320054650143
oct545642560100
9146858385000
1048025493568
1119405159158
129383783000
1346b4980420
1424783d005a
1513b136ad13
hexb2e8ae040

48025493568 has 196 divisors, whose sum is σ = 153878656428. Its totient is φ = 14776888320.

The previous prime is 48025493567. The next prime is 48025493609. The reversal of 48025493568 is 86539452084.

48025493568 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 549 + 35 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14474977344 + 33550516224 = 120312^2 + 183168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48025493567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 566938 + ... + 646118.

Almost surely, 248025493568 is an apocalyptic number.

48025493568 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 48025493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76939328214).

48025493568 is an abundant number, since it is smaller than the sum of its proper divisors (105853162860).

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

48025493568 is an equidigital number, since it uses as much as digits as its factorization.

48025493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79224 (or 79199 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 48025493568 in words is "forty-eight billion, twenty-five million, four hundred ninety-three thousand, five hundred sixty-eight".