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129896809744 = 241322922392
BaseRepresentation
bin111100011111001110…
…1000000010100010000
3110102021201202122012111
41320332131000110100
54112012040402434
6135401311235104
712245651444062
oct1707635002420
9412251678174
10129896809744
11500a83a9829
1221212218a94
13c3316b4c00
1464038c7732
1535a3c7d964
hex1e3e740510

129896809744 has 135 divisors (see below), whose sum is σ = 283431198063. Its totient is φ = 57642853632.

The previous prime is 129896809741. The next prime is 129896809747. The reversal of 129896809744 is 447908698921.

The square root of 129896809744 is 360412.

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

It is an interprime number because it is at equal distance from previous prime (129896809741) and next prime (129896809747).

It can be written as a sum of positive squares in 4 ways, for example, as 16656483600 + 113240326144 = 129060^2 + 336512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129896809744.

It is not an unprimeable number, because it can be changed into a prime (129896809741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 543501177 + ... + 543501415.

Almost surely, 2129896809744 is an apocalyptic number.

129896809744 is the 360412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129896809744

129896809744 is an abundant number, since it is smaller than the sum of its proper divisors (153534388319).

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

129896809744 is an equidigital number, since it uses as much as digits as its factorization.

129896809744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 67.

The spelling of 129896809744 in words is "one hundred twenty-nine billion, eight hundred ninety-six million, eight hundred nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 239 338 377 464 478 676 754 841 956 1352 1508 1682 1912 2704 3016 3107 3364 3824 4901 6032 6214 6728 6931 9802 10933 12428 13456 13862 19604 21866 24856 27724 39208 40391 43732 49712 55448 57121 78416 80782 87464 90103 110896 114242 142129 161564 174928 180206 200999 228484 284258 323128 360412 401998 456968 568516 646256 720824 742573 803996 913936 1137032 1171339 1441648 1485146 1607992 1656509 2274064 2342678 2612987 2970292 3215984 3313018 4685356 5225974 5940584 6626036 9370712 9653449 10451948 11881168 13252072 18741424 19306898 20903896 21534617 26504144 33968831 38613796 41807792 43069234 48038761 67937662 77227592 86138468 96077522 135875324 154455184 172276936 192155044 271750648 279950021 344553872 384310088 543501296 559900042 624503893 768620176 1119800084 1249007786 2239600168 2498015572 4479200336 4996031144 8118550609 9992062288 16237101218 32474202436 64948404872 129896809744