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328916591220 = 223573125262411
BaseRepresentation
bin1001100100101001111…
…01001110001001110100
31011102222202121001200010
410302110331032021310
520342110121404340
6411034024020220
732522600616120
oct4622475161164
91142882531603
10328916591220
11117546928278
12538b5601670
132502a901a09
1411cc372a580
15885112cb80
hex4c94f4e274

328916591220 has 96 divisors (see below), whose sum is σ = 1086485815296. Its totient is φ = 72755740800.

The previous prime is 328916591191. The next prime is 328916591231. The reversal of 328916591220 is 22195619823.

It is a happy number.

It is a super-3 number, since 3×3289165912203 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 328916591220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12618186 + ... + 12644225.

It is an arithmetic number, because the mean of its divisors is an integer number (11317560576).

Almost surely, 2328916591220 is an apocalyptic number.

328916591220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328916591220 is an abundant number, since it is smaller than the sum of its proper divisors (757569224076).

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

328916591220 is a wasteful number, since it uses less digits than its factorization.

328916591220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25262461 (or 25262459 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 328916591220 in words is "three hundred twenty-eight billion, nine hundred sixteen million, five hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 25262411 50524822 75787233 101049644 126312055 151574466 176836877 252624110 303148932 353673754 378936165 505248220 530510631 707347508 757872330 783134741 884184385 1061021262 1515744660 1566269482 1768368770 2122042524 2349404223 2652553155 3132538964 3536737540 3915673705 4698808446 5305106310 5481943187 7831347410 9397616892 10610212620 10963886374 11747021115 15662694820 16445829561 21927772748 23494042230 27409715935 32891659122 46988084460 54819431870 65783318244 82229147805 109638863740 164458295610 328916591220