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49166125008 = 243711134353449
BaseRepresentation
bin101101110010100001…
…111000011111010000
311200220110201221011220
4231302201320133100
51301143012000013
634330412405040
73360245111220
oct556241703720
9150813657156
1049166125008
111993aaa5470
129641776780
134837089180
142545aa8080
15142b57ab23
hexb728787d0

49166125008 has 640 divisors, whose sum is σ = 178188595200. Its totient is φ = 11271536640.

The previous prime is 49166124979. The next prime is 49166125037. The reversal of 49166125008 is 80052166194.

49166125008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49166124979) and next prime (49166125037).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109501168 + ... + 109501616.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 249166125008 is an apocalyptic number.

49166125008 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 49166125008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600).

49166125008 is an abundant number, since it is smaller than the sum of its proper divisors (129022470192).

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

49166125008 is a wasteful number, since it uses less digits than its factorization.

49166125008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 49166125008 in words is "forty-nine billion, one hundred sixty-six million, one hundred twenty-five thousand, eight".