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80458121016 = 23347131783967
BaseRepresentation
bin100101011101110101…
…1010111111100111000
321200200021011000220000
41022323223113330320
52304234234333031
6100543440433000
75545553513250
oct1127353277470
9250607130800
1080458121016
113113856a199
1213715318760
137783016040
143c7394c960
15215d8133e6
hex12bbad7f38

80458121016 has 640 divisors, whose sum is σ = 297523860480. Its totient is φ = 19710480384.

The previous prime is 80458120987. The next prime is 80458121047. The reversal of 80458121016 is 61012185408.

80458121016 is a `hidden beast` number, since 80 + 458 + 121 + 0 + 1 + 6 = 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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83203365 + ... + 83204331.

It is an arithmetic number, because the mean of its divisors is an integer number (464881032).

Almost surely, 280458121016 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 80458121016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148761930240).

80458121016 is an abundant number, since it is smaller than the sum of its proper divisors (217065739464).

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

80458121016 is a wasteful number, since it uses less digits than its factorization.

80458121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 80458121016 in words is "eighty billion, four hundred fifty-eight million, one hundred twenty-one thousand, sixteen".