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4349456236225 = 521922927572
BaseRepresentation
bin111111010010101111110…
…010110011111011000001
3120101210201002020211122001
4333102233302303323001
51032230141244024400
613130040153544001
7626144403002212
oct77225762637301
916353632224561
104349456236225
111427659723171
125a2b54115001
132571c8b2b239
1411072c8a7409
15782153eda6a
hex3f4afcb3ec1

4349456236225 has 81 divisors (see below), whose sum is σ = 5902971229467. Its totient is φ = 3178555551360.

The previous prime is 4349456236211. The next prime is 4349456236241. The reversal of 4349456236225 is 5226326549434.

The square root of 4349456236225 is 2085535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2168647952689 + 2180808283536 = 1472633^2 + 1476756^2 .

It is not a de Polignac number, because 4349456236225 - 25 = 4349456236193 is a prime.

It is a Duffinian number.

Its product of digits (37324800) is a multiple of the sum of its prime divisors (810).

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, 5745648547 + ... + 5745649303.

Almost surely, 24349456236225 is an apocalyptic number.

4349456236225 is the 2085535-th square number.

4349456236225 is the 1042768-th centered octagonal number.

It is an amenable number.

4349456236225 is a deficient number, since it is larger than the sum of its proper divisors (1553514993242).

4349456236225 is an frugal number, since it uses more digits than its factorization.

4349456236225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 810 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 55.

The spelling of 4349456236225 in words is "four trillion, three hundred forty-nine billion, four hundred fifty-six million, two hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 19 25 29 95 145 361 475 551 725 757 841 1805 2755 3785 4205 9025 10469 13775 14383 15979 18925 21025 21953 52345 71915 79895 109765 261725 273277 303601 359575 399475 417107 548825 573049 636637 1366385 1518005 2085535 2865245 3183185 6831925 7590025 7925033 10427675 10887931 12096103 14326225 15915925 16618421 39625165 54439655 60480515 83092105 198125825 206870689 229825957 272198275 302402575 315749999 415460525 481934209 1034353445 1149129785 1578749995 2409671045 5171767225 5745648925 5999249981 7893749975 9156749971 12048355225 29996249905 45783749855 149981249525 173978249449 228918749275 869891247245 4349456236225