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8050468608 = 283371312799
BaseRepresentation
bin1110111111101100…
…00110011100000000
3202210001101011211000
413133312012130000
5112441404443413
63410501252000
7403332565650
oct73766063400
922701334730
108050468608
113461309246
121688104000
139b3b338c0
14565284360
15321b69073
hex1dfd86700

8050468608 has 288 divisors, whose sum is σ = 29302784000. Its totient is φ = 2123034624.

The previous prime is 8050468589. The next prime is 8050468627. The reversal of 8050468608 is 8068640508.

8050468608 is a `hidden beast` number, since 80 + 50 + 468 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8050468589) and next prime (8050468627).

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 622593 + ... + 635391.

Almost surely, 28050468608 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 8050468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651392000).

8050468608 is an abundant number, since it is smaller than the sum of its proper divisors (21252315392).

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

8050468608 is a wasteful number, since it uses less digits than its factorization.

8050468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8050468608 is about 89724.4036369147. The cubic root of 8050468608 is about 2004.1969041707.

The spelling of 8050468608 in words is "eight billion, fifty million, four hundred sixty-eight thousand, six hundred eight".