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8093857068 = 223311411071553
BaseRepresentation
bin1111000100110111…
…00111010100101100
3202220002000112121000
413202123213110230
5113034011411233
63415051240300
7404400435633
oct74233472454
922802015530
108093857068
113483853680
12169a749090
139bcb1584b
1456ad3a51a
15325889d13
hex1e26e752c

8093857068 has 192 divisors, whose sum is σ = 23684451840. Its totient is φ = 2368972800.

The previous prime is 8093857049. The next prime is 8093857103. The reversal of 8093857068 is 8607583908.

It is a happy number.

8093857068 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 8 + 570 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5210980 + ... + 5212532.

It is an arithmetic number, because the mean of its divisors is an integer number (123356520).

Almost surely, 28093857068 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 8093857068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842225920).

8093857068 is an abundant number, since it is smaller than the sum of its proper divisors (15590594772).

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

8093857068 is a wasteful number, since it uses less digits than its factorization.

8093857068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8093857068 is about 89965.8661271040. The cubic root of 8093857068 is about 2007.7910328273.

The spelling of 8093857068 in words is "eight billion, ninety-three million, eight hundred fifty-seven thousand, sixty-eight".