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48665024352 = 25327232936191
BaseRepresentation
bin101101010100101010…
…010101011101100000
311122121112211101022100
4231110222111131200
51244131221234402
634204552210400
73341651611320
oct552452253540
9148545741270
1048665024352
111970315709a
129521999a00
13478730a0c9
1424d9307280
1513ec59671c
hexb54a95760

48665024352 has 288 divisors, whose sum is σ = 170733588480. Its totient is φ = 12840791040.

The previous prime is 48665024351. The next prime is 48665024357. The reversal of 48665024352 is 25342056684.

48665024352 is a `hidden beast` number, since 48 + 66 + 502 + 43 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 48665024298 and 48665024307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48665024351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326577 + ... + 1362767.

It is an arithmetic number, because the mean of its divisors is an integer number (592824960).

Almost surely, 248665024352 is an apocalyptic number.

48665024352 is a gapful number since it is divisible by the number (42) 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 48665024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85366794240).

48665024352 is an abundant number, since it is smaller than the sum of its proper divisors (122068564128).

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

48665024352 is a wasteful number, since it uses less digits than its factorization.

48665024352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36266 (or 36255 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 48665024352 in words is "forty-eight billion, six hundred sixty-five million, twenty-four thousand, three hundred fifty-two".