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48706589568 = 2737213217253
BaseRepresentation
bin101101010111001000…
…111001001110000000
311122201110001010001210
4231113020321032000
51244222341331233
634213035130120
73342665115600
oct552710711600
9148643033053
1048706589568
111972466670a
1295338a3940
134792b01200
142500a46c00
151401057163
hexb57239380

48706589568 has 864 divisors, whose sum is σ = 176383620360. Its totient is φ = 11861950464.

The previous prime is 48706589567. The next prime is 48706589629. The reversal of 48706589568 is 86598560784.

It is a junction number, because it is equal to n+sod(n) for n = 48706589499 and 48706589508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48706589567) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 918992230 + ... + 918992282.

Almost surely, 248706589568 is an apocalyptic number.

48706589568 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 48706589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88191810180).

48706589568 is an abundant number, since it is smaller than the sum of its proper divisors (127677030792).

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

48706589568 is a wasteful number, since it uses less digits than its factorization.

48706589568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 48706589568 in words is "forty-eight billion, seven hundred six million, five hundred eighty-nine thousand, five hundred sixty-eight".