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4930997742225 = 325231724672
BaseRepresentation
bin100011111000001011001…
…0111100110101010010001
3122110101202201012020120100
41013300112113212222101
51121242140410222400
614253134042403013
71016152502151012
oct107602627465221
918411681166510
104930997742225
111631251746a45
126777b1200469
13299cb6576239
14130939491009
15883ee9e8100
hex47c165e6a91

4930997742225 has 81 divisors (see below), whose sum is σ = 8878926426097. Its totient is φ = 2615955718080.

The previous prime is 4930997742217. The next prime is 4930997742241. The reversal of 4930997742225 is 5222477990394.

The square root of 4930997742225 is 2220585.

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

4930997742225 is a `hidden beast` number, since 4 + 9 + 30 + 99 + 77 + 422 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1990376391249 + 2940621350976 = 1410807^2 + 1714824^2 .

It is not a de Polignac number, because 4930997742225 - 23 = 4930997742217 is a prime.

It is a Duffinian number.

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, 10558881442 + ... + 10558881908.

Almost surely, 24930997742225 is an apocalyptic number.

4930997742225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4930997742225 is the 2220585-th square number.

4930997742225 is the 1110293-rd centered octagonal number.

It is an amenable number.

4930997742225 is a deficient number, since it is larger than the sum of its proper divisors (3947928683872).

4930997742225 is an frugal number, since it uses more digits than its factorization.

4930997742225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4930997742225 in words is "four trillion, nine hundred thirty billion, nine hundred ninety-seven million, seven hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 317 467 951 1401 1585 2335 2853 4203 4755 7005 7925 11675 14265 21015 23775 35025 71325 100489 105075 148039 218089 301467 444117 502445 654267 740195 904401 1090445 1332351 1507335 1962801 2220585 2512225 3271335 3700975 4522005 5452225 6661755 7536675 9814005 11102925 16356675 22610025 33308775 46928363 49070025 69134213 140785089 207402639 234641815 345671065 422355267 622207917 703925445 1037013195 1173209075 1728355325 2111776335 3111039585 3519627225 5185065975 10558881675 15555197925 21915545521 65746636563 109577727605 197239909689 328733182815 547888638025 986199548445 1643665914075 4930997742225