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3988899711729 = 321923729472
BaseRepresentation
bin111010000010111100111…
…100110100101011110001
3112010100001021112122001100
4322002330330310223301
51010323231311233404
612252250352155013
7561121440054462
oct72027474645361
915110037478040
103988899711729
1112a8756995809
125450aa538a69
1322c1c818931a
14db0c7004d69
156db6170ad39
hex3a0bcf34af1

3988899711729 has 81 divisors (see below), whose sum is σ = 6256352722347. Its totient is φ = 2448627353568.

The previous prime is 3988899711697. The next prime is 3988899711749. The reversal of 3988899711729 is 9271179988893.

The square root of 3988899711729 is 1997223.

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

3988899711729 is a `hidden beast` number, since 398 + 8 + 8 + 9 + 97 + 117 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3569322240225 + 419577471504 = 1889265^2 + 647748^2 .

It is not a de Polignac number, because 3988899711729 - 25 = 3988899711697 is a prime.

It is a super-2 number, since 2×39888997117292 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3988899711749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4212142834 + ... + 4212143780.

Almost surely, 23988899711729 is an apocalyptic number.

3988899711729 is the 1997223-rd square number.

3988899711729 is the 998612-nd centered octagonal number.

It is an amenable number.

3988899711729 is a deficient number, since it is larger than the sum of its proper divisors (2267453010618).

3988899711729 is an frugal number, since it uses more digits than its factorization.

3988899711729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1006 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 81.

Multiplying 3988899711729 by its sum of digits (81), we get a square (323100876650049 = 179750072).

The spelling of 3988899711729 in words is "three trillion, nine hundred eighty-eight billion, eight hundred ninety-nine million, seven hundred eleven thousand, seven hundred twenty-nine".

Divisors: 1 3 9 19 37 57 111 171 333 361 703 947 1083 1369 2109 2841 3249 4107 6327 8523 12321 13357 17993 26011 35039 40071 53979 78033 105117 120213 161937 234099 315351 341867 494209 665741 896809 1025601 1296443 1482627 1997223 2690427 3076803 3889329 4447881 5991669 8071281 11667987 12649079 17039371 24632417 33181933 37947237 51118113 73897251 99545799 113841711 153354339 221691753 298637397 323748049 468015923 630456727 971244147 1227731521 1404047769 1891370181 2913732441 3683194563 4212143307 5674110543 11049583689 11978677813 23326898899 35936033439 69980696697 107808100317 209942090091 443211079081 1329633237243 3988899711729