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52245616329 = 3410922332
BaseRepresentation
bin110000101010000101…
…001101011011001001
311222212002100022010000
4300222011031123021
51323444334210304
640000140513213
73526460261064
oct605205153311
9158762308100
1052245616329
1120180319915
12a160b4b809
134c0808339a
142758a838db
15155bac2939
hexc2a14d6c9

52245616329 has 45 divisors (see below), whose sum is σ = 79108020453. Its totient is φ = 34362750528.

The previous prime is 52245616303. The next prime is 52245616343. The reversal of 52245616329 is 92361654225.

The square root of 52245616329 is 228573.

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

52245616329 is a `hidden beast` number, since 5 + 2 + 2 + 4 + 5 + 6 + 1 + 632 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 693005625 + 51552610704 = 26325^2 + 227052^2 .

It is not a de Polignac number, because 52245616329 - 27 = 52245616201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52245616729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 224229997 + ... + 224230229.

Almost surely, 252245616329 is an apocalyptic number.

52245616329 is the 228573-rd square number.

52245616329 is the 114287-th centered octagonal number.

It is an amenable number.

52245616329 is a deficient number, since it is larger than the sum of its proper divisors (26862404124).

52245616329 is an frugal number, since it uses more digits than its factorization.

52245616329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 345 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 52245616329 in words is "fifty-two billion, two hundred forty-five million, six hundred sixteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 109 233 327 699 981 2097 2943 6291 8829 11881 18873 25397 35643 54289 76191 106929 162867 228573 320787 488601 685719 962361 1465803 2057157 2768273 4397409 5917501 8304819 17752503 24914457 53257509 74743371 159772527 224230113 479317581 645007609 1935022827 5805068481 17415205443 52245616329