Search a number
-
+
84230627328 = 213351719131
BaseRepresentation
bin100111001110010001…
…0010110000000000000
322001102011210012200000
41032130202112000000
52340001020033303
6102410042400000
76041212343031
oct1163442260000
9261364705600
1084230627328
11327a3aa2001
12143a8800000
137c347751b3
1441109a4a88
1522ceaecda3
hex139c896000

84230627328 has 672 divisors, whose sum is σ = 283381338240. Its totient is φ = 24843386880.

The previous prime is 84230627303. The next prime is 84230627399. The reversal of 84230627328 is 82372603248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642981823 + ... + 642981953.

It is an arithmetic number, because the mean of its divisors is an integer number (421698420).

Almost surely, 284230627328 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 84230627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141690669120).

84230627328 is an abundant number, since it is smaller than the sum of its proper divisors (199150710912).

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

84230627328 is a wasteful number, since it uses less digits than its factorization.

84230627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 84230627328 in words is "eighty-four billion, two hundred thirty million, six hundred twenty-seven thousand, three hundred twenty-eight".