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4973090080 = 255737412927
BaseRepresentation
bin1001010000110101…
…10101010100100000
3110211120202011002111
410220122311110200
540141102340310
62141250325104
7234144365620
oct45032652440
913746664074
104973090080
1121221a8202
12b69589794
136133c926a
14352698880
151e18dd28a
hex1286b5520

4973090080 has 192 divisors, whose sum is σ = 14131418112. Its totient is φ = 1617960960.

The previous prime is 4973090009. The next prime is 4973090119. The reversal of 4973090080 is 800903794.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697577 + ... + 1700503.

It is an arithmetic number, because the mean of its divisors is an integer number (73601136).

Almost surely, 24973090080 is an apocalyptic number.

4973090080 is a gapful number since it is divisible by the number (40) 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 4973090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065709056).

4973090080 is an abundant number, since it is smaller than the sum of its proper divisors (9158328032).

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

4973090080 is a wasteful number, since it uses less digits than its factorization.

4973090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 4973090080 is about 70520.1395347457. The cubic root of 4973090080 is about 1706.9027390184.

The spelling of 4973090080 in words is "four billion, nine hundred seventy-three million, ninety thousand, eighty".