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64432200223446 = 23112394649878621
BaseRepresentation
bin11101010011001110010100…
…11010000000101011010110
322110010122202211001102102120
432221213022122000223112
531421124121224122241
6345011424423120410
716400033662301166
oct1651471232005326
9273118684042376
1064432200223446
11195915a7311590
1272874855a3106
1329c4c131595c3
1411ca76c57c5a6
1576b0692e3666
hex3a99ca680ad6

64432200223446 has 64 divisors (see below), whose sum is σ = 141198069888000. Its totient is φ = 19439010617600.

The previous prime is 64432200223423. The next prime is 64432200223463.

64432200223446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×644322002234462 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64432200223398 and 64432200223407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72894016 + ... + 73772636.

It is an arithmetic number, because the mean of its divisors is an integer number (2206219842000).

Almost surely, 264432200223446 is an apocalyptic number.

64432200223446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64432200223446 is an abundant number, since it is smaller than the sum of its proper divisors (76765869664554).

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

64432200223446 is a wasteful number, since it uses less digits than its factorization.

64432200223446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883525.

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 64432200 and 223446, that added together give a palindrome (64655646).

The spelling of 64432200223446 in words is "sixty-four trillion, four hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 239 478 717 1434 2629 4649 5258 7887 9298 13947 15774 27894 51139 102278 153417 306834 878621 1111111 1757242 2222222 2635863 3333333 5271726 6666666 9664831 12222221 19329662 24444442 28994493 36666663 57988986 73333326 209990419 419980838 629971257 1259942514 2309894609 4084709029 4619789218 6929683827 8169418058 12254127087 13859367654 24508254174 44931799319 89863598638 134795397957 269590795914 976245457931 1952490915862 2928736373793 5857472747586 10738700037241 21477400074482 32216100111723 64432200223446