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80068233564 = 22331117193153127
BaseRepresentation
bin100101010010001110…
…0000100100101011100
321122200002111200212000
41022210130010211130
52302434431433224
6100441032042300
75533110520164
oct1124434044534
9248602450760
1080068233564
1130a58480a60
1213626833390
1377203055c7
143c37c5b5a4
15213949b0c9
hex12a470495c

80068233564 has 768 divisors, whose sum is σ = 267544166400. Its totient is φ = 20379340800.

The previous prime is 80068233563. The next prime is 80068233569. The reversal of 80068233564 is 46533286008.

It is a happy number.

80068233564 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 82 + 3 + 3 + 564 = 666.

It is a super-2 number, since 2×800682335642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80068233563) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 630458469 + ... + 630458595.

It is an arithmetic number, because the mean of its divisors is an integer number (348364800).

Almost surely, 280068233564 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 80068233564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133772083200).

80068233564 is an abundant number, since it is smaller than the sum of its proper divisors (187475932836).

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

80068233564 is a wasteful number, since it uses less digits than its factorization.

80068233564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 80068233564 in words is "eighty billion, sixty-eight million, two hundred thirty-three thousand, five hundred sixty-four".