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20744335614025 = 5229210123112
BaseRepresentation
bin1001011011101111010101…
…10000010110000001001001
32201110010202102020110020101
410231313222300112001021
510204333344404122100
6112041452145325401
74240504655242222
oct455675260260111
981403672213211
1020744335614025
116678694717761
1223b0484036861
13b7624ab11aca
1451a061888249
1525e91b39186a
hex12ddeac16049

20744335614025 has 81 divisors (see below), whose sum is σ = 26993736703999. Its totient is φ = 15813553840000.

The previous prime is 20744335613999. The next prime is 20744335614097. The reversal of 20744335614025 is 52041653344702.

The square root of 20744335614025 is 4554595.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2013824942649 + 18730510671376 = 1419093^2 + 4327876^2 .

It is a de Polignac number, because none of the positive numbers 2k-20744335614025 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 66702043620 + ... + 66702043930.

Almost surely, 220744335614025 is an apocalyptic number.

20744335614025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20744335614025 is the 4554595-th square number.

20744335614025 is the 2277298-th centered octagonal number.

It is an amenable number.

20744335614025 is a deficient number, since it is larger than the sum of its proper divisors (6249401089974).

20744335614025 is an frugal number, since it uses more digits than its factorization.

20744335614025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

Adding to 20744335614025 its reverse (52041653344702), we get a palindrome (72785988958727).

The spelling of 20744335614025 in words is "twenty trillion, seven hundred forty-four billion, three hundred thirty-five million, six hundred fourteen thousand, twenty-five".

Divisors: 1 5 25 29 101 145 311 505 725 841 1555 2525 2929 4205 7775 9019 10201 14645 21025 31411 45095 51005 73225 84941 96721 157055 225475 255025 261551 295829 424705 483605 785275 910919 1307755 1479145 2123525 2418025 2804909 3172511 4554595 6538775 7395725 8579041 9768821 14024545 15862555 22772975 26416651 42895205 48844105 70122725 79312775 81342361 92002819 132083255 214476025 244220525 283295809 406711805 460014095 660416275 986650921 1416479045 2033559025 2300070475 2668081751 4933254605 7082395225 8215578461 13340408755 24666273025 28612876709 41077892305 66702043775 143064383545 205389461525 715321917725 829773424561 4148867122805 20744335614025