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327980708416 = 2617242112
BaseRepresentation
bin1001100010111010010…
…11000111001001000000
31011100120112120021211001
410301131023013021000
520333201030132131
6410401112501344
732460445010614
oct4613513071100
91140515507731
10327980708416
11117106617709
12536940aa854
1324c0ba537ca
1411c3530d344
1587e8db4261
hex4c5d2c7240

327980708416 has 63 divisors (see below), whose sum is σ = 691537482937. Its totient is φ = 154307210240.

The previous prime is 327980708357. The next prime is 327980708527. The reversal of 327980708416 is 614807089723.

The square root of 327980708416 is 572696.

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., 255348302400 + 72632406016 = 505320^2 + 269504^2 .

It is a super-2 number, since 2×3279807084162 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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, 77884551 + ... + 77888761.

Almost surely, 2327980708416 is an apocalyptic number.

327980708416 is the 572696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327980708416

327980708416 is an abundant number, since it is smaller than the sum of its proper divisors (363556774521).

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

327980708416 is an frugal number, since it uses more digits than its factorization.

327980708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 327980708416 in words is "three hundred twenty-seven billion, nine hundred eighty million, seven hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4211 4624 8422 9248 16844 18496 33688 67376 71587 134752 143174 269504 286348 572696 1145392 1216979 2290784 2433958 4581568 4867916 9735832 17732521 19471664 35465042 38943328 70930084 77886656 141860168 283720336 301452857 567440672 602905714 1134881344 1205811428 2411622856 4823245712 5124698569 9646491424 10249397138 19292982848 20498794276 40997588552 81995177104 163990354208 327980708416