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3260378125728 = 253211320757381
BaseRepresentation
bin101111011100011101101…
…011100001010110100000
3102112200121100122112200100
4233130131223201112200
5411404223300010403
610533444054222400
7454361131544133
oct57343553412640
912480540575610
103260378125728
11104779a4aa439
12447a72054a00
131a85b5a2c299
14b3b35b7a21a
1559c2370d2a3
hex2f71dae15a0

3260378125728 has 36 divisors (see below), whose sum is σ = 9271700295858. Its totient is φ = 1086792708480.

The previous prime is 3260378125619. The next prime is 3260378125729. The reversal of 3260378125728 is 8275218730623.

3260378125728 is a `hidden beast` number, since 3 + 2 + 60 + 3 + 7 + 8 + 1 + 2 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3015460034064 + 244918091664 = 1736508^2 + 494892^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3260378125729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5660378403 + ... + 5660378978.

Almost surely, 23260378125728 is an apocalyptic number.

It is an amenable number.

3260378125728 is an abundant number, since it is smaller than the sum of its proper divisors (6011322170130).

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

3260378125728 is a wasteful number, since it uses less digits than its factorization.

3260378125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320757397 (or 11320757386 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3260378125728 in words is "three trillion, two hundred sixty billion, three hundred seventy-eight million, one hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11320757381 22641514762 33962272143 45283029524 67924544286 90566059048 101886816429 135849088572 181132118096 203773632858 271698177144 362264236192 407547265716 543396354288 815094531432 1086792708576 1630189062864 3260378125728