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245343431243232 = 25327121698130577
BaseRepresentation
bin110111110010001101111000…
…000100010011010111100000
31012011200121021120010222101100
4313302031320010103113200
5224124201321344240412
62225445114421434400
7102451322640501420
oct6762157004232740
91164617246128340
10245343431243232
11711a0623935023
122362524a86ba00
13a6b8a2b64369a
144482984b76480
151d56e2b9ecedc
hexdf23781135e0

245343431243232 has 72 divisors (see below), whose sum is σ = 797366151547056. Its totient is φ = 70098123211776.

The previous prime is 245343431243213. The next prime is 245343431243233. The reversal of 245343431243232 is 232342134343542.

245343431243232 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 3 + 4 + 312 + 4 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2453434312432323 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245343431243233) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 60849063273 + ... + 60849067304.

It is an arithmetic number, because the mean of its divisors is an integer number (11074529882598).

Almost surely, 2245343431243232 is an apocalyptic number.

It is an amenable number.

245343431243232 is an abundant number, since it is smaller than the sum of its proper divisors (552022720303824).

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

245343431243232 is a wasteful number, since it uses less digits than its factorization.

245343431243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121698130600 (or 121698130589 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 45.

Adding to 245343431243232 its reverse (232342134343542), we get a palindrome (477685565586774).

The spelling of 245343431243232 in words is "two hundred forty-five trillion, three hundred forty-three billion, four hundred thirty-one million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 121698130577 243396261154 365094391731 486792522308 730188783462 851886914039 973585044616 1095283175193 1460377566924 1703773828078 1947170089232 2190566350386 2555660742117 2920755133848 3407547656156 3894340178464 4381132700772 5111321484234 5841510267696 6815095312312 7666982226351 8762265401544 10222642968468 11683020535392 13630190624624 15333964452702 17524530803088 20445285936936 27260381249248 30667928905404 35049061606176 40890571873872 61335857810808 81781143747744 122671715621616 245343431243232