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326616822016 = 2823215532
BaseRepresentation
bin1001100000010111110…
…00010011000100000000
31011020001111011200101221
410300023320103010000
520322402401301031
6410013512004424
732411604115462
oct4601370230400
91136044150357
10326616822016
11116576754671
1253373390714
1324a5230a934
1411b4611c132
1587692a4a11
hex4c0be13100

326616822016 has 81 divisors (see below), whose sum is σ = 681975356629. Its totient is φ = 156107460608.

The previous prime is 326616822013. The next prime is 326616822031. The reversal of 326616822016 is 610228616623.

The square root of 326616822016 is 571504.

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., 33182265600 + 293434556416 = 182160^2 + 541696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (326616822013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210312696 + ... + 210314248.

Almost surely, 2326616822016 is an apocalyptic number.

326616822016 is the 571504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326616822016

326616822016 is an abundant number, since it is smaller than the sum of its proper divisors (355358534613).

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

326616822016 is an frugal number, since it uses more digits than its factorization.

326616822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 326616822016 in words is "three hundred twenty-six billion, six hundred sixteen million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 1553 2116 2944 3106 4232 5888 6212 8464 12424 16928 24848 33856 35719 49696 67712 71438 99392 135424 142876 198784 285752 397568 571504 821537 1143008 1643074 2286016 2411809 3286148 4572032 4823618 6572296 9144064 9647236 13144592 19294472 26289184 38588944 52578368 55471607 77177888 105156736 110943214 154355776 210313472 221886428 308711552 443772856 617423104 887545712 1275846961 1775091424 2551693922 3550182848 5103387844 7100365696 10206775688 14200731392 20413551376 40827102752 81654205504 163308411008 326616822016