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326195097400384 = 2622576092
BaseRepresentation
bin100101000101011000011011…
…0111010000111010001000000
31120202221221120012010110112221
41022022300312322013101000
5320223340024413303014
63113431543051500424
7125464550412536632
oct11212606672072100
91522857505113487
10326195097400384
1194a32622659493
1230702966157714
13110020b144c394
145a79cd97b8a52
1527aa13a4d9b24
hex128ac36e87440

326195097400384 has 21 divisors (see below), whose sum is σ = 647293683120357. Its totient is φ = 163097476456704.

The previous prime is 326195097400261. The next prime is 326195097400399. The reversal of 326195097400384 is 483004790591623.

It is a happy number.

The square root of 326195097400384 is 18060872.

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., 138079608529984 + 188115488870400 = 11750728^2 + 13715520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143358172 + ... + 145615780.

It is an arithmetic number, because the mean of its divisors is an integer number (30823508720017).

It is a 2-persistent number, because it is pandigital, and so is 2⋅326195097400384 = 652390194800768, but 3⋅326195097400384 = 978585292201152 is not.

Almost surely, 2326195097400384 is an apocalyptic number.

326195097400384 is the 18060872-nd square number.

It is an amenable number.

326195097400384 is a deficient number, since it is larger than the sum of its proper divisors (321098585719973).

326195097400384 is an frugal number, since it uses more digits than its factorization.

326195097400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515230 (or 2257611 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 326195097400384 in words is "three hundred twenty-six trillion, one hundred ninety-five billion, ninety-seven million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 2257609 4515218 9030436 18060872 36121744 72243488 144486976 5096798396881 10193596793762 20387193587524 40774387175048 81548774350096 163097548700192 326195097400384