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65043361296 = 24325324012
BaseRepresentation
bin111100100100111000…
…101110111000010000
320012212222120002211100
4330210320232320100
52031202100030141
645514104544400
74461556306644
oct744470567020
9205788502740
1065043361296
1125648311051
1210732a82100
13619758b544
143210600c24
151a5a3c20b6
hexf24e2ee10

65043361296 has 135 divisors (see below), whose sum is σ = 185994248167. Its totient is φ = 21218995200.

The previous prime is 65043361231. The next prime is 65043361337. The reversal of 65043361296 is 69216334056.

The square root of 65043361296 is 255036.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40812080400 + 24231280896 = 202020^2 + 155664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 162202696 + ... + 162203096.

Almost surely, 265043361296 is an apocalyptic number.

65043361296 is the 255036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65043361296

65043361296 is an abundant number, since it is smaller than the sum of its proper divisors (120950886871).

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

65043361296 is an equidigital number, since it uses as much as digits as its factorization.

65043361296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 65043361296 in words is "sixty-five billion, forty-three million, three hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 401 424 477 636 802 848 954 1203 1272 1604 1908 2406 2544 2809 3208 3609 3816 4812 5618 6416 7218 7632 8427 9624 11236 14436 16854 19248 21253 22472 25281 28872 33708 42506 44944 50562 57744 63759 67416 85012 101124 127518 134832 160801 170024 191277 202248 255036 321602 340048 382554 404496 482403 510072 643204 765108 964806 1020144 1126409 1286408 1447209 1530216 1929612 2252818 2572816 2894418 3060432 3379227 3859224 4505636 5788836 6758454 7718448 8522453 9011272 10137681 11577672 13516908 17044906 18022544 20275362 23155344 25567359 27033816 34089812 40550724 51134718 54067632 68179624 76702077 81101448 102269436 136359248 153404154 162202896 204538872 306808308 409077744 451690009 613616616 903380018 1227233232 1355070027 1806760036 2710140054 3613520072 4065210081 5420280108 7227040144 8130420162 10840560216 16260840324 21681120432 32521680648 65043361296