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32404312432 = 2419472698431
BaseRepresentation
bin11110001011011100…
…101001000101110000
310002122022102121222201
4132023130221011300
51012331000444212
622515240512544
72225003053042
oct361334510560
9102568377881
1032404312432
11128194315a8
12634417b754
13309553088b
1417d58aba92
15c99c52b57
hex78b729170

32404312432 has 80 divisors (see below), whose sum is σ = 67752806400. Its totient is φ = 14965205760.

The previous prime is 32404312379. The next prime is 32404312441. The reversal of 32404312432 is 23421340423.

It is a self number, because there is not a number n which added to its sum of digits gives 32404312432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3839257 + ... + 3847687.

It is an arithmetic number, because the mean of its divisors is an integer number (846910080).

Almost surely, 232404312432 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 32404312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33876403200).

32404312432 is an abundant number, since it is smaller than the sum of its proper divisors (35348493968).

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

32404312432 is a wasteful number, since it uses less digits than its factorization.

32404312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32404312432 its reverse (23421340423), we get a palindrome (55825652855).

The spelling of 32404312432 in words is "thirty-two billion, four hundred four million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 269 304 376 538 752 893 1076 1786 2152 3572 4304 5111 7144 8431 10222 12643 14288 16862 20444 25286 33724 40888 50572 67448 81776 101144 134896 160189 202288 240217 320378 396257 480434 640756 792514 960868 1281512 1585028 1921736 2267939 2563024 3170056 3843472 4535878 6340112 7528883 9071756 15057766 18143512 30115532 36287024 43090841 60231064 86181682 106593133 120462128 172363364 213186266 344726728 426372532 689453456 852745064 1705490128 2025269527 4050539054 8101078108 16202156216 32404312432