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20757673205121 = 31937151261724907
BaseRepresentation
bin1001011100001000001011…
…01111001101110110000001
32201111102011221021021121210
410232010011233031312001
510210043203320030441
6112051535440240333
74241456331012366
oct456040557156601
981442157237553
1020757673205121
116683309411316
1223b2b869100a9
13b77595113848
1451a968db046d
1525ee4c27a616
hex12e105bcdd81

20757673205121 has 64 divisors (see below), whose sum is σ = 30131841259520. Its totient is φ = 12665956262400.

The previous prime is 20757673205081. The next prime is 20757673205147. The reversal of 20757673205121 is 12150237675702.

It is not a de Polignac number, because 20757673205121 - 217 = 20757673074049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20757673205221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833394750 + ... + 833419656.

It is an arithmetic number, because the mean of its divisors is an integer number (470810019680).

Almost surely, 220757673205121 is an apocalyptic number.

It is an amenable number.

20757673205121 is a deficient number, since it is larger than the sum of its proper divisors (9374168054399).

20757673205121 is a wasteful number, since it uses less digits than its factorization.

20757673205121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27734.

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 20757673205121 in words is "twenty trillion, seven hundred fifty-seven billion, six hundred seventy-three million, two hundred five thousand, one hundred twenty-one".

Divisors: 1 3 19 37 57 111 151 453 703 2109 2617 2869 5587 7851 8607 16761 24907 49723 74721 96829 106153 149169 290487 318459 395167 473233 921559 1185501 1419699 1839751 2764677 3760957 5519253 7508173 11282871 14621179 17509621 22524519 43863537 52528863 65181619 71458183 139155409 195544857 214374549 277802401 417466227 833407203 1238450761 2411719903 2643952771 3715352283 7235159709 7931858313 9842424469 29527273407 45822678157 137468034471 187006064911 364169705353 561018194733 1092509116059 6919224401707 20757673205121