Search a number
-
+
8166538308096 = 293272311166723
BaseRepresentation
bin111011011010110101110…
…0111010110101000000000
31001220201021002121000102100
41312311223213112220000
52032300032301324341
625211353401550400
71502004301165200
oct166655347265000
931821232530370
108166538308096
112669455a79003
12aba8911a5400
1347314160532c
1420339668a400
15e266c91e3b6
hex76d6b9d6a00

8166538308096 has 360 divisors, whose sum is σ = 28301662756224. Its totient is φ = 2258027089920.

The previous prime is 8166538308073. The next prime is 8166538308133. The reversal of 8166538308096 is 6908038356618.

8166538308096 is a `hidden beast` number, since 8 + 1 + 6 + 6 + 538 + 3 + 0 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6416191 + ... + 7582913.

Almost surely, 28166538308096 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 8166538308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14150831378112).

8166538308096 is an abundant number, since it is smaller than the sum of its proper divisors (20135124448128).

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

8166538308096 is a wasteful number, since it uses less digits than its factorization.

8166538308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166792 (or 1166766 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 8166538308096 in words is "eight trillion, one hundred sixty-six billion, five hundred thirty-eight million, three hundred eight thousand, ninety-six".