Search a number
-
+
6446663531220 = 22351159165553763
BaseRepresentation
bin101110111001111101100…
…0101101111101011010100
3211211021222001202220210010
41131303323011233223110
51321110231330444340
621413320100400220
71233520221612543
oct135637305575324
924737861686703
106446663531220
112066018554490
128814a66a6070
13379bc142a373
1418403d53215a
15b2a5c36cb80
hex5dcfb16fad4

6446663531220 has 96 divisors (see below), whose sum is σ = 20025383293440. Its totient is φ = 1536338911360.

The previous prime is 6446663531197. The next prime is 6446663531221. The reversal of 6446663531220 is 221353666446.

It is a self number, because there is not a number n which added to its sum of digits gives 6446663531220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6446663531221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82737942 + ... + 82815821.

It is an arithmetic number, because the mean of its divisors is an integer number (208597742640).

Almost surely, 26446663531220 is an apocalyptic number.

6446663531220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6446663531220 is an abundant number, since it is smaller than the sum of its proper divisors (13578719762220).

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

6446663531220 is a wasteful number, since it uses less digits than its factorization.

6446663531220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165553845 (or 165553843 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 6446663531220 in words is "six trillion, four hundred forty-six billion, six hundred sixty-three million, five hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 165553763 331107526 496661289 662215052 827768815 993322578 1655537630 1821091393 1986645156 2483306445 3311075260 3642182786 4966612890 5463274179 7284365572 9105456965 9767672017 9933225780 10926548358 18210913930 19535344034 21853096716 27316370895 29303016051 36421827860 39070688068 48838360085 54632741790 58606032102 97676720170 107444392187 109265483580 117212064204 146515080255 195353440340 214888784374 293030160510 322333176561 429777568748 537221960935 586060321020 644666353122 1074443921870 1289332706244 1611665882805 2148887843740 3223331765610 6446663531220