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45081905625 = 32541921492
BaseRepresentation
bin101001111111000101…
…110100100111011001
311022100211120002110100
4221333011310213121
51214311431440000
632413233410013
73154112606121
oct517705644731
9138324502410
1045081905625
1118134618a49
1288a1a09909
134335b8aa03
1422794adc81
15128cc1ba00
hexa7f1749d9

45081905625 has 135 divisors (see below), whose sum is σ = 86460216843. Its totient is φ = 22625352000.

The previous prime is 45081905599. The next prime is 45081905633. The reversal of 45081905625 is 52650918054.

The square root of 45081905625 is 212325.

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

45081905625 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 19 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44888473161 + 193432464 = 211869^2 + 13908^2 .

It is not a de Polignac number, because 45081905625 - 213 = 45081897433 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 302563051 + ... + 302563199.

Almost surely, 245081905625 is an apocalyptic number.

45081905625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45081905625 is the 212325-th square number.

45081905625 is the 106163-rd centered octagonal number.

It is an amenable number.

45081905625 is a deficient number, since it is larger than the sum of its proper divisors (41378311218).

45081905625 is an equidigital number, since it uses as much as digits as its factorization.

45081905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 45081905625 in words is "forty-five billion, eighty-one million, nine hundred five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 149 171 225 285 361 375 447 475 625 745 855 1083 1125 1341 1425 1805 1875 2235 2375 2831 3249 3725 4275 5415 5625 6705 7125 8493 9025 11175 11875 14155 16245 18625 21375 22201 25479 27075 33525 35625 42465 45125 53789 55875 66603 70775 81225 93125 106875 111005 127395 135375 161367 167625 199809 212325 225625 268945 279375 333015 353875 406125 421819 484101 555025 636975 676875 806835 838125 999045 1061625 1265457 1344725 1665075 1769375 2030625 2109095 2420505 2775125 3184875 3796371 4034175 4995225 5308125 6327285 6723625 8014561 8325375 10545475 12102525 13875625 15924375 18981855 20170875 24043683 24976125 31636425 33618125 40072805 41626875 52727375 60512625 72131049 94909275 100854375 120218415 124880625 158182125 200364025 263636875 302563125 360655245 474546375 601092075 790910625 1001820125 1803276225 2372731875 3005460375 5009100625 9016381125 15027301875 45081905625