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62093164225 = 52192432612
BaseRepresentation
bin111001110101000010…
…100111111011000001
312221021101020120021011
4321311002213323001
52004131322223400
644305240000521
74325504121211
oct716502477301
9187241216234
1062093164225
1124373a77354
121004aa60141
135b172c37c1
143010880241
1519363b98ba
hexe750a7ec1

62093164225 has 81 divisors (see below), whose sum is σ = 84581157609. Its totient is φ = 45212126400.

The previous prime is 62093164223. The next prime is 62093164247. The reversal of 62093164225 is 52246139026.

The square root of 62093164225 is 249185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28601236161 + 33491928064 = 169119^2 + 183008^2 .

It is not a de Polignac number, because 62093164225 - 21 = 62093164223 is a prime.

It is a super-2 number, since 2×620931642252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62093164223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1017920695 + ... + 1017920755.

Almost surely, 262093164225 is an apocalyptic number.

62093164225 is the 249185-th square number.

62093164225 is the 124593-rd centered octagonal number.

It is an amenable number.

62093164225 is a deficient number, since it is larger than the sum of its proper divisors (22487993384).

62093164225 is an equidigital number, since it uses as much as digits as its factorization.

62093164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 62093164225 in words is "sixty-two billion, ninety-three million, one hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 19 25 43 61 95 215 305 361 475 817 1075 1159 1525 1805 1849 2623 3721 4085 5795 9025 9245 13115 15523 18605 20425 22021 28975 35131 46225 49837 65575 70699 77615 93025 110105 112789 160003 175655 249185 353495 388075 550525 563945 667489 800015 878275 946903 1245925 1343281 1767475 2142991 2819725 3040057 3337445 4000075 4734515 6716405 6880129 10714955 15200285 16687225 23672575 33582025 34400645 40716829 53574775 57761083 76001425 130722451 172003225 203584145 288805415 653612255 1017920725 1444027075 2483726569 3268061275 12418632845 62093164225