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32402880064 = 26225012
BaseRepresentation
bin11110001011010111…
…001011011001000000
310002122012201212011001
4132023113023121000
51012330114130224
622515150101344
72224654636042
oct361327133100
9102565655131
1032402880064
1112818643425
1263437aa854
13309514b919
1417d5617a92
15c99a6d544
hex78b5cb640

32402880064 has 21 divisors (see below), whose sum is σ = 64302322881. Its totient is φ = 16200720000.

The previous prime is 32402880049. The next prime is 32402880071. The reversal of 32402880064 is 46008820423.

The square root of 32402880064 is 180008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32397120064 + 5760000 = 179992^2 + 2400^2 .

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 1428814 + ... + 1451314.

Almost surely, 232402880064 is an apocalyptic number.

32402880064 is the 180008-th square number.

It is an amenable number.

32402880064 is a deficient number, since it is larger than the sum of its proper divisors (31899442817).

32402880064 is an frugal number, since it uses more digits than its factorization.

32402880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45014 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 32402880064 in words is "thirty-two billion, four hundred two million, eight hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 22501 45002 90004 180008 360016 720032 1440064 506295001 1012590002 2025180004 4050360008 8100720016 16201440032 32402880064