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328314226812 = 2231113192529987
BaseRepresentation
bin1001100011100010000…
…11011000100001111100
31011101102210010210001020
410301301003120201330
520334341420224222
6410454145144140
732501634611505
oct4616103304174
91141383123036
10328314226812
11117267904a50
125376792b050
1324c62b88b80
1411c67729bac
1588182e465c
hex4c710d887c

328314226812 has 144 divisors (see below), whose sum is σ = 949857213312. Its totient is φ = 87002501760.

The previous prime is 328314226789. The next prime is 328314226819. The reversal of 328314226812 is 218622413823.

It is a super-2 number, since 2×3283142268122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328314226819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354483 + ... + 884469.

It is an arithmetic number, because the mean of its divisors is an integer number (6596230648).

Almost surely, 2328314226812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328314226812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474928606656).

328314226812 is an abundant number, since it is smaller than the sum of its proper divisors (621542986500).

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

328314226812 is a wasteful number, since it uses less digits than its factorization.

328314226812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530056 (or 530035 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 328314226812 in words is "three hundred twenty-eight billion, three hundred fourteen million, two hundred twenty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 361 418 429 494 572 627 722 741 836 858 988 1083 1254 1444 1482 1716 2166 2508 2717 2964 3971 4332 4693 5434 7942 8151 9386 10868 11913 14079 15884 16302 18772 23826 28158 32604 47652 51623 56316 103246 154869 206492 309738 529987 619476 1059974 1589961 2119948 3179922 5829857 6359844 6889831 10069753 11659714 13779662 17489571 20139506 20669493 23319428 27559324 30209259 34979142 40279012 41338986 60418518 69958284 75788141 82677972 110767283 120837036 130906789 151576282 191325307 221534566 227364423 261813578 303152564 332301849 382650614 392720367 443069132 454728846 523627156 573975921 664603698 765301228 785440734 909457692 1147951842 1329207396 1439974679 1570881468 2104578377 2295903684 2487228991 2879949358 4209156754 4319924037 4974457982 5759898716 6313735131 7461686973 8418313508 8639848074 9948915964 12627470262 14923373946 17279696148 25254940524 27359518901 29846747892 54719037802 82078556703 109438075604 164157113406 328314226812