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64441433414446 = 211192354831222483
BaseRepresentation
bin11101010011011111100001…
…01111110101101100101110
322110011112121021221010100121
432221233300233311230232
531421302023423230241
6345015552534315154
716400511536155324
oct1651576057655456
9273145537833317
1064441433414446
11195955051a5650
1272892217b8aba
1329c5a5501542a
1411cada6935d14
1576b409bd3ad1
hex3a9bf0bf5b2e

64441433414446 has 64 divisors (see below), whose sum is σ = 115846886983680. Its totient is φ = 26538519443040.

The previous prime is 64441433414411. The next prime is 64441433414551.

64441433414446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64441433414393 and 64441433414402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52102321 + ... + 53324803.

It is an arithmetic number, because the mean of its divisors is an integer number (1810107609120).

Almost surely, 264441433414446 is an apocalyptic number.

64441433414446 is a deficient number, since it is larger than the sum of its proper divisors (51405453569234).

64441433414446 is a wasteful number, since it uses less digits than its factorization.

64441433414446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228021.

The product of its digits is 21233664, while the sum is 52.

It can be divided in two parts, 6444143 and 3414446, that added together give a palindrome (9858589).

The spelling of 64441433414446 in words is "sixty-four trillion, four hundred forty-one billion, four hundred thirty-three million, four hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 11 19 22 23 38 46 209 253 418 437 506 874 4807 5483 9614 10966 60313 104177 120626 126109 208354 252218 1145947 1222483 1387199 2291894 2396071 2444966 2774398 4792142 13447313 23227177 26356781 26894626 28117109 46454354 52713562 56234218 255498947 309288199 510997894 534225071 618576398 1068450142 5876475781 6702874289 11752951562 13405748578 73731617179 127354611491 147463234358 154166108647 254709222982 308332217294 1400900726401 1695827195117 2801801452802 2929156064293 3391654390234 5858312128586 32220716707223 64441433414446