Search a number
-
+
328621832005000 = 235419101173319763
BaseRepresentation
bin100101010111000010011101…
…1100011111110010110001000
31121002112221101111102022112011
41022232010323203332112020
5321033120002443130000
63122530441400225304
7126135100226406502
oct11256047343762610
91532487344368464
10328621832005000
1195788811016826
1230a3514276b234
1311149ba102c651
145b2154ad06d72
1527ed31bec02ba
hex12ae13b8fe588

328621832005000 has 320 divisors, whose sum is σ = 819023567313600. Its totient is φ = 123220022400000.

The previous prime is 328621832004997. The next prime is 328621832005039. The reversal of 328621832005000 is 500238126823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16628125119 + ... + 16628144881.

It is an arithmetic number, because the mean of its divisors is an integer number (2559448647855).

Almost surely, 2328621832005000 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 328621832005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409511783656800).

328621832005000 is an abundant number, since it is smaller than the sum of its proper divisors (490401735308600).

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

328621832005000 is a wasteful number, since it uses less digits than its factorization.

328621832005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21642 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 328621832005000 in words is "three hundred twenty-eight trillion, six hundred twenty-one billion, eight hundred thirty-two million, five thousand".