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74095562025 = 34522322632
BaseRepresentation
bin100010100000001110…
…0001000110100101001
321002020211212112210000
41011000130020310221
52203221430441100
654012233013213
75232104612502
oct1050034106451
9232224775700
1074095562025
1129473016481
121243a554209
136caaab7834
14382c923ba9
151dd9e60900
hex1140708d29

74095562025 has 135 divisors (see below), whose sum is σ = 144025080199. Its totient is φ = 37655750880.

The previous prime is 74095561949. The next prime is 74095562029. The reversal of 74095562025 is 52026559047.

The square root of 74095562025 is 272205.

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

74095562025 is a `hidden beast` number, since 74 + 0 + 9 + 556 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26674402329 + 47421159696 = 163323^2 + 217764^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 74095562025 - 221 = 74093464873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74095562029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 281732044 + ... + 281732306.

Almost surely, 274095562025 is an apocalyptic number.

74095562025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74095562025 is the 272205-th square number.

74095562025 is the 136103-rd centered octagonal number.

It is an amenable number.

74095562025 is a deficient number, since it is larger than the sum of its proper divisors (69929518174).

74095562025 is an equidigital number, since it uses as much as digits as its factorization.

74095562025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 74095562025 in words is "seventy-four billion, ninety-five million, five hundred sixty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 263 345 405 529 575 621 675 789 1035 1315 1587 1725 1863 2025 2367 2645 3105 3945 4761 5175 6049 6575 7101 7935 9315 11835 13225 14283 15525 18147 19725 21303 23805 30245 35505 39675 42849 46575 54441 59175 69169 71415 90735 106515 119025 139127 151225 163323 177525 207507 214245 272205 345845 357075 417381 453675 489969 532575 622521 695635 816615 1037535 1071225 1252143 1361025 1590887 1729225 1867563 2086905 2449845 3112605 3478175 3756429 4083075 4772661 5187675 5602689 6260715 7954435 9337815 10434525 11269287 12249225 14317983 15563025 18782145 23863305 28013445 31303575 36590401 39772175 42953949 46689075 56346435 71589915 93910725 109771203 119316525 128861847 140067225 182952005 214769745 281732175 329313609 357949575 548856015 644309235 914760025 987940827 1073848725 1646568045 2744280075 2963822481 3221546175 4939704135 8232840225 14819112405 24698520675 74095562025