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81971982530244 = 2234313216072
BaseRepresentation
bin10010101000110110010110…
…111001100111011011000100
3101202020110000101212221110000
4102220312112321213123010
541221012110011431434
6450201224154001300
723160165100061202
oct2250662671473304
9352213011787400
1081971982530244
1124134139151244
12923a877116230
133697c039a0001
141635672428072
1597242cd9db99
hex4a8d96e676c4

81971982530244 has 135 divisors (see below), whose sum is σ = 215111636388957. Its totient is φ = 27219748286016.

The previous prime is 81971982530237. The next prime is 81971982530257. The reversal of 81971982530244 is 44203528917918.

The square root of 81971982530244 is 9053838.

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

81971982530244 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 1 + 98 + 2 + 530 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 522945922500 + 81449036607744 = 723150^2 + 9024912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51009322489 + ... + 51009324095.

Almost surely, 281971982530244 is an apocalyptic number.

81971982530244 is the 9053838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81971982530244

81971982530244 is an abundant number, since it is smaller than the sum of its proper divisors (133139653858713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81971982530244 is an frugal number, since it uses more digits than its factorization.

81971982530244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 81971982530244 in words is "eighty-one trillion, nine hundred seventy-one billion, nine hundred eighty-two million, five hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 313 324 626 939 1252 1607 1878 2817 3214 3756 4821 5634 6428 8451 9642 11268 14463 16902 19284 25353 28926 33804 43389 50706 57852 86778 97969 101412 130167 173556 195938 260334 293907 391876 502991 520668 587814 881721 1005982 1175628 1508973 1763442 2011964 2582449 2645163 3017946 3526884 4526919 5164898 5290326 6035892 7747347 7935489 9053838 10329796 10580652 13580757 15494694 15870978 18107676 23242041 27161514 30989388 31741956 40742271 46484082 54323028 69726123 81484542 92968164 139452246 157436183 162969084 209178369 278904492 314872366 418356738 472308549 629744732 808306537 836713476 944617098 1416925647 1616613074 1889234196 2424919611 2833851294 3233226148 4250776941 4849839222 5667702588 7274758833 8501553882 9699678444 12752330823 14549517666 17003107764 21824276499 25504661646 29099035332 43648552998 51009323292 65472829497 87297105996 130945658994 252999946081 261891317988 505999892162 758999838243 1011999784324 1517999676486 2276999514729 3035999352972 4553999029458 6830998544187 9107998058916 13661997088374 20492995632561 27323994176748 40985991265122 81971982530244