Search a number
-
+
245403321412512 = 2534760478994383
BaseRepresentation
bin110111110011000101101001…
…110011001010101110100000
31012011220022212102001210201010
4313303011221303022232200
5224131142000240200022
62225532421323540520
7102455543034521064
oct6763055163125640
91164808772053633
10245403321412512
1171213a6731669a
122363498398a740
13a6c15843c7583
144485826bd9aa4
151d587847a850c
hexdf3169ccaba0

245403321412512 has 96 divisors (see below), whose sum is σ = 657998624489472. Its totient is φ = 80047409417984.

The previous prime is 245403321412493. The next prime is 245403321412649. The reversal of 245403321412512 is 215214123304542.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22786873 + ... + 31781255.

It is an arithmetic number, because the mean of its divisors is an integer number (6854152338432).

Almost surely, 2245403321412512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245403321412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328999312244736).

245403321412512 is an abundant number, since it is smaller than the sum of its proper divisors (412595303076960).

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

245403321412512 is a wasteful number, since it uses less digits than its factorization.

245403321412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000490 (or 9000482 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 245403321412512 in words is "two hundred forty-five trillion, four hundred three billion, three hundred twenty-one million, four hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 6047 12094 18141 24188 36282 48376 72564 96752 145128 193504 284209 290256 568418 580512 852627 1136836 1705254 2273672 3410508 4547344 6821016 8994383 9094688 13642032 17988766 26983149 27284064 35977532 53966298 71955064 107932596 143910128 215865192 287820256 422736001 431730384 845472002 863460768 1268208003 1690944004 2536416006 3381888008 5072832012 6763776016 10145664024 13527552032 20291328048 40582656096 54389034001 108778068002 163167102003 217556136004 326334204006 435112272008 652668408012 870224544016 1305336816024 1740449088032 2556284598047 2610673632048 5112569196094 5221347264096 7668853794141 10225138392188 15337707588282 20450276784376 30675415176564 40900553568752 61350830353128 81801107137504 122701660706256 245403321412512