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997359745041 = 321125325712
BaseRepresentation
bin11101000001101110100…
…01011111100000010001
310112100100201022120120100
432200313101133200101
5112320043043320131
62042103012403013
7132025334645502
oct16406721374021
93470321276510
10997359745041
11354a83636300
12141365916469
137308729ccba
14363b5926ba9
151ae24a837e6
hexe83745f811

997359745041 has 81 divisors (see below), whose sum is σ = 1616775829851. Its totient is φ = 592016911200.

The previous prime is 997359745033. The next prime is 997359745099. The reversal of 997359745041 is 140547953799.

The square root of 997359745041 is 998679.

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

997359745041 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 59 + 74 + 504 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 718993764225 + 278365980816 = 847935^2 + 527604^2 .

It is not a de Polignac number, because 997359745041 - 23 = 997359745033 is a prime.

It is a super-2 number, since 2×9973597450412 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 997359745041.

It is not an unprimeable number, because it can be changed into a prime (997359745001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1746689286 + ... + 1746689856.

Almost surely, 2997359745041 is an apocalyptic number.

997359745041 is the 998679-th square number.

997359745041 is the 499340-th centered octagonal number.

It is an amenable number.

997359745041 is a deficient number, since it is larger than the sum of its proper divisors (619416084810).

997359745041 is an equidigital number, since it uses as much as digits as its factorization.

997359745041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

It can be divided in two parts, 997359 and 745041, that added together give a square (1742400 = 13202).

The spelling of 997359745041 in words is "nine hundred ninety-seven billion, three hundred fifty-nine million, seven hundred forty-five thousand, forty-one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 571 583 1089 1713 1749 2809 5139 5247 6281 6413 8427 18843 19239 25281 30263 30899 56529 57717 69091 90789 92697 207273 272367 278091 326041 332893 339889 621819 978123 998679 1019667 1603939 2934369 2996037 3059001 3586451 3661823 4811817 10759353 10985469 14435451 17280173 17643329 32278059 32956407 39450961 51840519 52929987 118352883 155521557 158789961 190081903 194076619 355058649 570245709 582229857 915849169 1710737127 1746689571 2090900933 2747547507 6272702799 8242642521 10074340859 18818108397 30223022577 90669067731 110817749449 332453248347 997359745041