Search a number
-
+
331668665328 = 243721113831092
BaseRepresentation
bin1001101001110001111…
…11100011001111110000
31011201002120002220121210
410310320333203033300
520413224134242303
6412211054320120
732651026065600
oct4647077431760
91151076086553
10331668665328
11118729351290
12543431b9040
1325378b1b930
14120a5036c00
158962a4c203
hex4d38fe33f0

331668665328 has 720 divisors, whose sum is σ = 1196025699456. Its totient is φ = 77842114560.

The previous prime is 331668665309. The next prime is 331668665333. The reversal of 331668665328 is 823566866133.

It is a happy number.

It is a super-2 number, since 2×3316686653282 (a number of 24 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 143 ways as a sum of consecutive naturals, for example, 3042831738 + ... + 3042831846.

Almost surely, 2331668665328 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 331668665328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598012849728).

331668665328 is an abundant number, since it is smaller than the sum of its proper divisors (864357034128).

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

331668665328 is a wasteful number, since it uses less digits than its factorization.

331668665328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 228 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The spelling of 331668665328 in words is "three hundred thirty-one billion, six hundred sixty-eight million, six hundred sixty-five thousand, three hundred twenty-eight".