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120704449104 = 243817239283
BaseRepresentation
bin111000001101010001…
…0111011101001010000
3102112120002201100000000
41300122202323221100
53434200314332404
6131241215130000
711502111613611
oct1603242735120
9375502640000
10120704449104
1147210573168
121b487813900
13b4c8123865
145bb0b1bc08
153216c56339
hex1c1a8bba50

120704449104 has 360 divisors, whose sum is σ = 374285508480. Its totient is φ = 37576369152.

The previous prime is 120704449081. The next prime is 120704449111. The reversal of 120704449104 is 401944407021.

120704449104 is a `hidden beast` number, since 1 + 207 + 0 + 4 + 449 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 426517347 + ... + 426517629.

It is an arithmetic number, because the mean of its divisors is an integer number (1039681968).

Almost surely, 2120704449104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120704449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142754240).

120704449104 is an abundant number, since it is smaller than the sum of its proper divisors (253581059376).

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

120704449104 is an equidigital number, since it uses as much as digits as its factorization.

120704449104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 120704449104 in words is "one hundred twenty billion, seven hundred four million, four hundred forty-nine thousand, one hundred four".