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4075803775044 = 223459219012
BaseRepresentation
bin111011010011111000110…
…101100001000001000100
3112102122100202212110110000
4323103320311201001010
51013234221231300134
612400222020001300
7600316134315531
oct73237065410104
915378322773400
104075803775044
1113315a1a7a841
12559b02530230
13237467776bb1
141013aca85d88
157104ad92e99
hex3b4f8d61044

4075803775044 has 135 divisors (see below), whose sum is σ = 10844314061581. Its totient is φ = 1334871554400.

The previous prime is 4075803775037. The next prime is 4075803775049. The reversal of 4075803775044 is 4405773085704.

The square root of 4075803775044 is 2018862.

It is a perfect power (a square), and thus also a powerful number.

4075803775044 is a `hidden beast` number, since 4 + 0 + 7 + 580 + 3 + 7 + 7 + 50 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339933309444 + 3735870465600 = 583038^2 + 1932840^2 .

It is a super-2 number, since 2×40758037750442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4075803775049) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2144030494 + ... + 2144032394.

Almost surely, 24075803775044 is an apocalyptic number.

4075803775044 is the 2018862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075803775044

4075803775044 is an abundant number, since it is smaller than the sum of its proper divisors (6768510286537).

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

4075803775044 is an frugal number, since it uses more digits than its factorization.

4075803775044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 4075803775044 in words is "four trillion, seventy-five billion, eight hundred three million, seven hundred seventy-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 1901 2124 3186 3481 3802 4779 5703 6372 6962 7604 9558 10443 11406 13924 17109 19116 20886 22812 31329 34218 41772 51327 62658 68436 93987 102654 112159 125316 153981 187974 205308 224318 281961 307962 336477 375948 448636 563922 615924 672954 1009431 1127844 1345908 2018862 3028293 3613801 4037724 6056586 6617381 7227602 9084879 10841403 12113172 13234762 14455204 18169758 19852143 21682806 26469524 32524209 36339516 39704286 43365612 59556429 65048418 79408572 97572627 119112858 130096836 178669287 195145254 213214259 238225716 292717881 357338574 390290508 426428518 536007861 585435762 639642777 714677148 852857036 1072015722 1170871524 1279285554 1918928331 2144031444 2558571108 3837856662 5756784993 7675713324 11513569986 12579641281 17270354979 23027139972 25159282562 34540709958 37738923843 50318565124 69081419916 75477847686 113216771529 150955695372 226433543058 339650314587 452867086116 679300629174 1018950943761 1358601258348 2037901887522 4075803775044