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673113589225 = 527211221312
BaseRepresentation
bin10011100101110001011…
…00100100010111101001
32101100102102222012211021
421302320230210113221
542012014034323400
61233120224132441
766426245051200
oct11627054442751
92340372865737
10673113589225
1123a514089300
12aa554467121
134b62217a33c
14248165d0237
15127989ad71a
hex9cb8b245e9

673113589225 has 81 divisors (see below), whose sum is σ = 1067723831223. Its totient is φ = 419406372000.

The previous prime is 673113589219. The next prime is 673113589249. The reversal of 673113589225 is 522985311376.

The square root of 673113589225 is 820435.

It is a perfect power (a square), and thus also a powerful number.

673113589225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242320892121 + 430792697104 = 492261^2 + 656348^2 .

It is not a de Polignac number, because 673113589225 - 23 = 673113589217 is a prime.

It is a super-2 number, since 2×6731135892252 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 315866410 + ... + 315868540.

Almost surely, 2673113589225 is an apocalyptic number.

673113589225 is the 820435-th square number.

673113589225 is the 410218-th centered octagonal number.

It is an amenable number.

673113589225 is a deficient number, since it is larger than the sum of its proper divisors (394610241998).

673113589225 is an equidigital number, since it uses as much as digits as its factorization.

673113589225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 2154 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 673113589225 in words is "six hundred seventy-three billion, one hundred thirteen million, five hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2131 2695 3025 4235 5929 10655 13475 14917 21175 23441 29645 53275 74585 104419 117205 148225 164087 257851 372925 522095 586025 820435 1148609 1289255 1804957 2610475 4102175 4541161 5743045 6446275 9024785 12634699 22705805 28715225 31788127 45123925 49952771 63173495 113529025 158940635 222516889 249763855 315867475 349669397 549480481 794703175 1112584445 1248819275 1748346985 2447685779 2747402405 3846363367 5562922225 8741734925 12238428895 13737012025 19231816835 26924543569 61192144475 96159084175 134622717845 673113589225