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6674563980 = 22325738313831
BaseRepresentation
bin1100011011101010…
…11100001110001100
3122020011100222111100
412031311130032030
5102132142021410
63022151023100
7324254600130
oct61565341614
918204328440
106674563980
112915687787
12136336aa90
13824a70656
144746453c0
15290e838c0
hex18dd5c38c

6674563980 has 144 divisors (see below), whose sum is σ = 23200579584. Its totient is φ = 1521521280.

The previous prime is 6674563949. The next prime is 6674563997. The reversal of 6674563980 is 893654766.

6674563980 is a `hidden beast` number, since 6 + 6 + 74 + 563 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×66745639802 = 89099608646226880800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 475665 + ... + 489495.

It is an arithmetic number, because the mean of its divisors is an integer number (161115136).

Almost surely, 26674563980 is an apocalyptic number.

6674563980 is a gapful number since it is divisible by the number (60) 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 6674563980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600289792).

6674563980 is an abundant number, since it is smaller than the sum of its proper divisors (16526015604).

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

6674563980 is a wasteful number, since it uses less digits than its factorization.

6674563980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6674563980 is about 81698.0047491981. The cubic root of 6674563980 is about 1882.8149301422.

The spelling of 6674563980 in words is "six billion, six hundred seventy-four million, five hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 383 420 630 766 1149 1260 1532 1915 2298 2681 3447 3830 4596 5362 5745 6894 7660 8043 10724 11490 13405 13788 13831 16086 17235 22980 24129 26810 27662 32172 34470 40215 41493 48258 53620 55324 68940 69155 80430 82986 96516 96817 120645 124479 138310 160860 165972 193634 207465 241290 248958 276620 290451 387268 414930 482580 484085 497916 580902 622395 829860 871353 968170 1161804 1244790 1452255 1742706 1936340 2489580 2904510 3485412 4356765 5297273 5809020 8713530 10594546 15891819 17427060 21189092 26486365 31783638 37080911 47675457 52972730 63567276 74161822 79459095 95350914 105945460 111242733 148323644 158918190 185404555 190701828 222485466 238377285 317836380 333728199 370809110 444970932 476754570 556213665 667456398 741618220 953509140 1112427330 1334912796 1668640995 2224854660 3337281990 6674563980