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245216569248 = 25327131928513
BaseRepresentation
bin1110010001100000001…
…0111110011110100000
3212102221120020101201100
43210120002332132200
513004200420203443
6304352334034400
723500460306340
oct3443002763640
9772846211640
10245216569248
1194aa53a69a2
123b636648a00
131a17c0692b1
14bc23406d20
1565a2de13d3
hex39180be7a0

245216569248 has 144 divisors (see below), whose sum is σ = 803038332096. Its totient is φ = 69526978560.

The previous prime is 245216569229. The next prime is 245216569261. The reversal of 245216569248 is 842965612542.

245216569248 is a `hidden beast` number, since 2 + 4 + 52 + 1 + 6 + 569 + 24 + 8 = 666.

245216569248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 245216569194 and 245216569203.

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 23 ways as a sum of consecutive naturals, for example, 200161 + ... + 728352.

It is an arithmetic number, because the mean of its divisors is an integer number (5576655084).

Almost surely, 2245216569248 is an apocalyptic number.

245216569248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

245216569248 is an abundant number, since it is smaller than the sum of its proper divisors (557821762848).

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

245216569248 is a wasteful number, since it uses less digits than its factorization.

245216569248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928667 (or 928656 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 245216569248 in words is "two hundred forty-five billion, two hundred sixteen million, five hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 524 672 786 917 1008 1048 1179 1572 1834 2016 2096 2358 2751 3144 3668 4192 4716 5502 6288 7336 8253 9432 11004 12576 14672 16506 18864 22008 29344 33012 37728 44016 66024 88032 132048 264096 928513 1857026 2785539 3714052 5571078 6499591 7428104 8356617 11142156 12999182 14856208 16713234 19498773 22284312 25998364 29712416 33426468 38997546 44568624 51996728 58496319 66852936 77995092 89137248 103993456 116992638 121635203 133705872 155990184 207986912 233985276 243270406 267411744 311980368 364905609 467970552 486540812 623960736 729811218 851446421 935941104 973081624 1094716827 1459622436 1702892842 1871882208 1946163248 2189433654 2554339263 2919244872 3405785684 3892326496 4378867308 5108678526 5838489744 6811571368 7663017789 8757734616 10217357052 11676979488 13623142736 15326035578 17515469232 20434714104 27246285472 30652071156 35030938464 40869428208 61304142312 81738856416 122608284624 245216569248