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33234321340025 = 52131711701514081
BaseRepresentation
bin1111000111001111101111…
…11010101111011001111001
311100200011120222220102220022
413203213313322233121321
513324002342230340100
6154403345250140225
710000046315232161
oct743476772573171
9140604528812808
1033234321340025
11a653661a85753
12388904ab81675
131570ca1a04c30
1482c79a68d5a1
153c977ab67e85
hex1e39f7eaf679

33234321340025 has 48 divisors (see below), whose sum is σ = 46995332449968. Its totient is φ = 23096586240000.

The previous prime is 33234321340019. The next prime is 33234321340027. The reversal of 33234321340025 is 52004312343233.

It can be written as a sum of positive squares in 24 ways, for example, as 15003436724329 + 18230884615696 = 3873427^2 + 4269764^2 .

It is not a de Polignac number, because 33234321340025 - 24 = 33234321340009 is a prime.

It is a super-2 number, since 2×332343213400252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33234321340027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64390985 + ... + 64905065.

It is an arithmetic number, because the mean of its divisors is an integer number (979069426041).

Almost surely, 233234321340025 is an apocalyptic number.

It is an amenable number.

33234321340025 is a deficient number, since it is larger than the sum of its proper divisors (13761011109943).

33234321340025 is a wasteful number, since it uses less digits than its factorization.

33234321340025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525822 (or 525817 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 33234321340025 its reverse (52004312343233), we get a palindrome (85238633683258).

The spelling of 33234321340025 in words is "thirty-three trillion, two hundred thirty-four billion, three hundred twenty-one million, three hundred forty thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 5525 11701 58505 152113 198917 292525 514081 760565 994585 2570405 2585921 3802825 4972925 6683053 8739377 12852025 12929605 33415265 43696885 64648025 113611901 167076325 218484425 568059505 2840297525 6015261781 30076308905 78198403153 102259450277 150381544525 390992015765 511297251385 1329372853601 1954960078825 2556486256925 6646864268005 33234321340025