Search a number
-
+
32398098432 = 214371729191
BaseRepresentation
bin11110001011000100…
…111100000000000000
310002121212201220222120
4132023010330000000
51012322403122212
622514455404240
72224566202320
oct361304740000
9102555656876
1032398098432
1112815977967
126342083680
13309416635b
1417d4b31280
15c9942688c
hex78b13c000

32398098432 has 480 divisors, whose sum is σ = 108713041920. Its totient is φ = 8367636480.

The previous prime is 32398098427. The next prime is 32398098433. The reversal of 32398098432 is 23489089323.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32398098433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169623457 + ... + 169623647.

It is an arithmetic number, because the mean of its divisors is an integer number (226485504).

Almost surely, 232398098432 is an apocalyptic number.

32398098432 is a gapful number since it is divisible by the number (32) 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 32398098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54356520960).

32398098432 is an abundant number, since it is smaller than the sum of its proper divisors (76314943488).

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

32398098432 is a wasteful number, since it uses less digits than its factorization.

32398098432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 32398098432 in words is "thirty-two billion, three hundred ninety-eight million, ninety-eight thousand, four hundred thirty-two".