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129901775322916 = 22172101233192
BaseRepresentation
bin11101100010010100011101…
…001011000111111100100100
3122000221111012001221200201201
4131202110131023013330210
5114011302313440313131
61140140015102132244
736235044042551512
oct3542243513077444
9560844161850651
10129901775322916
1138433040701553
121269ba01881084
1357638b980559c
1424113cac2d4b2
15100409b140761
hex76251d2c7f24

129901775322916 has 81 divisors (see below), whose sum is σ = 243975092225907. Its totient is φ = 60506761324800.

The previous prime is 129901775322889. The next prime is 129901775322931. The reversal of 129901775322916 is 619223577109921.

The square root of 129901775322916 is 11397446.

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

129901775322916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77358181622500 + 52543593700416 = 8795350^2 + 7248696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39138827905 + ... + 39138831223.

Almost surely, 2129901775322916 is an apocalyptic number.

129901775322916 is the 11397446-th square number.

It is an amenable number.

129901775322916 is a deficient number, since it is larger than the sum of its proper divisors (114073316902991).

129901775322916 is an frugal number, since it uses more digits than its factorization.

129901775322916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 64.

The spelling of 129901775322916 in words is "one hundred twenty-nine trillion, nine hundred one billion, seven hundred seventy-five million, three hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 17 34 68 101 202 289 404 578 1156 1717 3319 3434 6638 6868 10201 13276 20402 29189 40804 56423 58378 112846 116756 173417 225692 335219 346834 670438 693668 959191 1340876 1918382 2948089 3836764 5698723 5896178 11015761 11397446 11792356 22031522 22794892 33857119 44063044 67714238 96878291 135428476 187267937 193756582 374535874 387513164 575571023 749071748 1112591861 1151142046 2225183722 2302284092 3183554929 4450367444 6367109858 9784707391 12734219716 18914061637 19569414782 37828123274 39138829564 75656246548 112371777961 224743555922 321539047829 449487111844 643078095658 1286156191316 1910320225337 3820640450674 7641280901348 32475443830729 64950887661458 129901775322916