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8000032000032 = 25321666672
BaseRepresentation
bin111010001101010011100…
…0100001100100000100000
31001022210110222121011122200
41310122213010030200200
52022033031143000112
625003055225533200
71453661152004622
oct164324704144040
931283428534580
108000032000032
11260488155a346
12a92562644200
134605274195a7
141d92bca0cc12
15dd174b86cdc
hex746a710c820

8000032000032 has 54 divisors (see below), whose sum is σ = 22750227501183. Its totient is φ = 2666661333312.

The previous prime is 8000031999989. The next prime is 8000032000043. The reversal of 8000032000032 is 2300002300008.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4000016000016 + 4000016000016 = 2000004^2 + 2000004^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2000004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8000031999969 and 8000032000014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47916763 + ... + 48083429.

Almost surely, 28000032000032 is an apocalyptic number.

It is an amenable number.

8000032000032 is an abundant number, since it is smaller than the sum of its proper divisors (14750195501151).

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

8000032000032 is an frugal number, since it uses more digits than its factorization.

8000032000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333350 (or 166672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Multiplying 8000032000032 by its sum of digits (18), we get a square (144000576000576 = 120000242).

8000032000032 divided by its sum of digits (18) gives a square (444446222224 = 6666682).

8000032000032 divided by its product of nonzero digits (288) gives a square (27777888889 = 1666672).

The spelling of 8000032000032 in words is "eight trillion, thirty-two million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 166667 333334 500001 666668 1000002 1333336 1500003 2000004 2666672 3000006 4000008 5333344 6000012 8000016 12000024 16000032 24000048 48000096 27777888889 55555777778 83333666667 111111555556 166667333334 222223111112 250001000001 333334666668 444446222224 500002000002 666669333336 888892444448 1000004000004 1333338666672 2000008000008 2666677333344 4000016000016 8000032000032