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245305452153152 = 26103269854316193
BaseRepresentation
bin110111110001101010100000…
…010101100100100101000000
31012011112222020201210022010102
4313301222200111210211000
5224123041031222400102
62225415434034021532
7102445506532531316
oct6761524025444500
91164488221708112
10245305452153152
1171186504705576
1223619a0b7178a8
13a6b5288179b11
144480bc0b480b6
151d55e57659402
hexdf1aa0564940

245305452153152 has 112 divisors (see below), whose sum is σ = 493419375221760. Its totient is φ = 120988754608128.

The previous prime is 245305452153131. The next prime is 245305452153233. The reversal of 245305452153152 is 251351254503542.

It is a junction number, because it is equal to n+sod(n) for n = 245305452153097 and 245305452153106.

It is a congruent number.

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, 15148849568 + ... + 15148865760.

Almost surely, 2245305452153152 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 245305452153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246709687610880).

245305452153152 is an abundant number, since it is smaller than the sum of its proper divisors (248113923068608).

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

245305452153152 is a wasteful number, since it uses less digits than its factorization.

245305452153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25120 (or 25110 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 47.

The spelling of 245305452153152 in words is "two hundred forty-five trillion, three hundred five billion, four hundred fifty-two million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 103 206 269 412 538 824 1076 1648 2152 3296 4304 6592 8543 8608 16193 17086 17216 27707 32386 34172 55414 64772 68344 110828 129544 136688 221656 259088 273376 443312 518176 546752 879929 886624 1036352 1667879 1759858 1773248 2298067 3335758 3519716 4355917 4596134 6671516 7039432 8711834 9192268 13343032 14078864 17423668 18384536 26686064 28157728 34847336 36769072 53372128 56315456 69694672 73538144 106744256 138336799 139389344 147076288 236700901 276673598 278778688 448659451 473401802 553347196 897318902 946803604 1106694392 1794637804 1893607208 2213388784 3589275608 3787214416 4426777568 7178551216 7574428832 8853555136 14248690297 14357102432 15148857664 28497380594 28714204864 37212598931 56994761188 74425197862 113989522376 148850395724 227979044752 297700791448 455958089504 595401582896 911916179008 1190803165792 2381606331584 3832897689893 7665795379786 15331590759572 30663181519144 61326363038288 122652726076576 245305452153152