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20994769820025 = 3252251212172
BaseRepresentation
bin1001100011000001110011…
…10011000001100101111001
32202100002011121101021000100
410301200321303001211321
510222434242033220100
6112352510351430013
74264551653000541
oct461407163014571
982302147337010
1020994769820025
11676491725a341
122430b15b25309
13b93a4bb2a811
1452821bc06321
152661c7379400
hex131839cc1979

20994769820025 has 81 divisors (see below), whose sum is σ = 37785426962413. Its totient is φ = 11143436160000.

The previous prime is 20994769820023. The next prime is 20994769820039. The reversal of 20994769820025 is 52002896749902.

The square root of 20994769820025 is 4582005.

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 1946887205481 + 19047882614544 = 1395309^2 + 4364388^2 .

It is not a de Polignac number, because 20994769820025 - 21 = 20994769820023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20994769820023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17251248217 + ... + 17251249433.

Almost surely, 220994769820025 is an apocalyptic number.

20994769820025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20994769820025 is the 4582005-th square number.

20994769820025 is the 2291003-rd centered octagonal number.

It is an amenable number.

20994769820025 is a deficient number, since it is larger than the sum of its proper divisors (16790657142388).

20994769820025 is an frugal number, since it uses more digits than its factorization.

20994769820025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20994769820025 in words is "twenty trillion, nine hundred ninety-four billion, seven hundred sixty-nine million, eight hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 251 753 1217 1255 2259 3651 3765 6085 6275 10953 11295 18255 18825 30425 54765 56475 63001 91275 189003 273825 305467 315005 567009 916401 945015 1481089 1527335 1575025 2749203 2835045 4443267 4582005 4725075 7405445 7636675 13329801 13746015 14175225 22216335 22910025 37027225 66649005 68730075 76672217 111081675 230016651 333245025 371753339 383361085 690049953 1115260017 1150083255 1858766695 1916805425 3345780051 3450249765 5576300085 5750416275 9293833475 16728900255 17251248825 27881500425 83644501275 93310088089 279930264267 466550440445 839790792801 1399651321335 2332752202225 4198953964005 6998256606675 20994769820025