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328771814640 = 24353738995177
BaseRepresentation
bin1001100100011000101…
…00111100010011110000
31011102121200011122112120
410302030110330103300
520341311041032030
6411011412554240
732516162213013
oct4621424742360
91142550148476
10328771814640
11117482133505
1253875022980
13250069114b9
1411cac40137a
158843581010
hex4c8c53c4f0

328771814640 has 160 divisors (see below), whose sum is σ = 1049440242240. Its totient is φ = 85082775552.

The previous prime is 328771814621. The next prime is 328771814659. The reversal of 328771814640 is 46418177823.

It is an interprime number because it is at equal distance from previous prime (328771814621) and next prime (328771814659).

It is a super-2 number, since 2×3287718146402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3406732 + ... + 3501908.

It is an arithmetic number, because the mean of its divisors is an integer number (6559001514).

Almost surely, 2328771814640 is an apocalyptic number.

328771814640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328771814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524720121120).

328771814640 is an abundant number, since it is smaller than the sum of its proper divisors (720668427600).

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

328771814640 is a wasteful number, since it uses less digits than its factorization.

328771814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95619 (or 95613 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

It can be divided in two parts, 328771 and 814640, that added together give a palindrome (1143411).

The spelling of 328771814640 in words is "three hundred twenty-eight billion, seven hundred seventy-one million, eight hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 389 444 555 592 740 778 888 1110 1167 1480 1556 1776 1945 2220 2334 2960 3112 3890 4440 4668 5835 6224 7780 8880 9336 11670 14393 15560 18672 23340 28786 31120 43179 46680 57572 71965 86358 93360 95177 115144 143930 172716 190354 215895 230288 285531 287860 345432 380708 431790 475885 571062 575720 690864 761416 863580 951770 1142124 1151440 1427655 1522832 1727160 1903540 2284248 2855310 3454320 3521549 3807080 4568496 5710620 7043098 7614160 10564647 11421240 14086196 17607745 21129294 22842480 28172392 35215490 37023853 42258588 52823235 56344784 70430980 74047706 84517176 105646470 111071559 140861960 148095412 169034352 185119265 211292940 222143118 281723920 296190824 370238530 422585880 444286236 555357795 592381648 740477060 845171760 888572472 1110715590 1369882561 1480954120 1777144944 2221431180 2739765122 2961908240 4109647683 4442862360 5479530244 6849412805 8219295366 8885724720 10959060488 13698825610 16438590732 20548238415 21918120976 27397651220 32877181464 41096476830 54795302440 65754362928 82192953660 109590604880 164385907320 328771814640