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245342352514050 = 232521124505828329
BaseRepresentation
bin110111110010001100110111…
…110001010001110000000010
31012011200111111101022212010200
4313302030313301101300002
5224124142114220422200
62225444415404510030
7102451254131446401
oct6762146761216002
91164614441285120
10245342352514050
11711a011aa28900
1223624ba954b316
13a6b88b8ccc6ac
1444828c17b3638
151d56db6e69800
hexdf2337c51c02

245342352514050 has 108 divisors (see below), whose sum is σ = 724523677979010. Its totient is φ = 59476933929600.

The previous prime is 245342352514033. The next prime is 245342352514111. The reversal of 245342352514050 is 50415253243542.

245342352514050 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 235 + 2 + 5 + 1 + 405 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 92770473218049 + 152571879296001 = 9631743^2 + 12351999^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 245342352513987 and 245342352514005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2252859715 + ... + 2252968614.

Almost surely, 2245342352514050 is an apocalyptic number.

245342352514050 is an abundant number, since it is smaller than the sum of its proper divisors (479181325464960).

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

245342352514050 is a wasteful number, since it uses less digits than its factorization.

245342352514050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505828369 (or 4505828350 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 245342352514050 in words is "two hundred forty-five trillion, three hundred forty-two billion, three hundred fifty-two million, five hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 4950 5445 6050 9075 10890 18150 27225 54450 4505828329 9011656658 13517484987 22529141645 27034969974 40552454961 45058283290 49564111619 67587424935 81104909922 99128223238 112645708225 135174849870 148692334857 202762274805 225291416450 247820558095 297384669714 337937124675 405524549610 446077004571 495641116190 545205227809 675874249350 743461674285 892154009142 1013811374025 1090410455618 1239102790475 1486923348570 1635615683427 2027622748050 2230385022855 2478205580950 2726026139045 3271231366854 3717308371425 4460770045710 4906847050281 5452052278090 7434616742850 8178078417135 9813694100562 11151925114275 13630130695225 16356156834270 22303850228550 24534235251405 27260261390450 40890392085675 49068470502810 81780784171350 122671176257025 245342352514050