Search a number
-
+
9420938688 = 2637173147283
BaseRepresentation
bin10001100011000100…
…00001110111000000
3220022120011021100010
420301202001313000
5123243230014223
64154455224520
7452313441360
oct106142016700
926276137303
109420938688
113aa4968747
1219ab078140
13b71a43345
146552aa9a0
153a2129393
hex231881dc0

9420938688 has 448 divisors, whose sum is σ = 31910658048. Its totient is φ = 2390999040.

The previous prime is 9420938677. The next prime is 9420938699. The reversal of 9420938688 is 8868390249.

It is an interprime number because it is at equal distance from previous prime (9420938677) and next prime (9420938699).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×94209386882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 33289395 + ... + 33289677.

Almost surely, 29420938688 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 9420938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955329024).

9420938688 is an abundant number, since it is smaller than the sum of its proper divisors (22489719360).

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

9420938688 is a wasteful number, since it uses less digits than its factorization.

9420938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 9420938688 is about 97061.5201199734. The cubic root of 9420938688 is about 2112.0201587837.

The spelling of 9420938688 in words is "nine billion, four hundred twenty million, nine hundred thirty-eight thousand, six hundred eighty-eight".