Search a number
-
+
397369328895936 = 263229316112580049
BaseRepresentation
bin101101001011001111100000…
…1101100011000011111000000
31221002222010200202110200121100
41122112133001230120133000
5404040444341144132221
63525044541035254400
7146461662256325625
oct13226370154303700
91832863622420540
10397369328895936
11105683427845931
1238698a082aa400
13140959c7c312c7
14701aac72d434c
1530e174c7e3926
hex16967c1b187c0

397369328895936 has 336 divisors, whose sum is σ = 1236210314976000. Its totient is φ = 121734608486400.

The previous prime is 397369328895899. The next prime is 397369328895937. The reversal of 397369328895936 is 639598823963793.

It is a happy number.

397369328895936 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 6 + 9 + 3 + 2 + 8 + 8 + 9 + 593 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397369328895937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25297240 + ... + 37877288.

It is an arithmetic number, because the mean of its divisors is an integer number (3679197366000).

Almost surely, 2397369328895936 is an apocalyptic number.

397369328895936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397369328895936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618105157488000).

397369328895936 is an abundant number, since it is smaller than the sum of its proper divisors (838840986080064).

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

397369328895936 is a wasteful number, since it uses less digits than its factorization.

397369328895936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12580188 (or 12580175 counting only the distinct ones).

The product of its digits is 85710804480, while the sum is 90.

The spelling of 397369328895936 in words is "three hundred ninety-seven trillion, three hundred sixty-nine billion, three hundred twenty-eight million, eight hundred ninety-five thousand, nine hundred thirty-six".