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245325305114253 = 33713446322372283
BaseRepresentation
bin110111110001111100111111…
…101010100110111010001101
31012011121212111022122012221000
4313301330333222212322031
5224123402211102124003
62225432520031530513
7102450111521110350
oct6761747752467215
91164555438565830
10245325305114253
1171193972135041
1223621830389a39
13a6b7100251590
144481b456b6297
151d5671a52d1a3
hexdf1f3faa6e8d

245325305114253 has 64 divisors (see below), whose sum is σ = 447417043476480. Its totient is φ = 129373358480064.

The previous prime is 245325305114177. The next prime is 245325305114261. The reversal of 245325305114253 is 352411503523542.

245325305114253 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 2 + 530 + 51 + 14 + 2 + 53 = 666.

It is not a de Polignac number, because 245325305114253 - 29 = 245325305113741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245325305114199 and 245325305114208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245325305114293) 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 63 ways as a sum of consecutive naturals, for example, 220551 + ... + 22151732.

It is an arithmetic number, because the mean of its divisors is an integer number (6990891304320).

Almost surely, 2245325305114253 is an apocalyptic number.

It is an amenable number.

245325305114253 is a deficient number, since it is larger than the sum of its proper divisors (202091738362227).

245325305114253 is a wasteful number, since it uses less digits than its factorization.

245325305114253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22376775 (or 22376769 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 245325305114253 its reverse (352411503523542), we get a palindrome (597736808637795).

The spelling of 245325305114253 in words is "two hundred forty-five trillion, three hundred twenty-five billion, three hundred five million, one hundred fourteen thousand, two hundred fifty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4463 13389 31241 40167 58019 93723 120501 174057 281169 406133 522171 843507 1218399 1566513 3655197 10965591 22372283 67116849 156605981 201350547 290839679 469817943 604051641 872519037 1409453829 2035877753 2617557111 4228361487 6107633259 7852671333 18322899777 54968699331 99847499029 299542497087 698932493203 898627491261 1298017487377 2096797479609 2695882473783 3894052462131 6290392438827 9086122411639 11682157386393 18871177316481 27258367234917 35046472159179 81775101704751 245325305114253