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4464484006444 = 2271172719938209
BaseRepresentation
bin100000011110111011111…
…1110111011101000101100
3120210210121120022000010221
41000331313332323220230
51041121230401201234
613254542230141124
7640356034630660
oct100756776735054
916723546260127
104464484006444
111471416918480
126012b67b17a4
13264ccab5aab7
141161216da8a0
157b1e8ad5eb4
hex40f77fbba2c

4464484006444 has 48 divisors (see below), whose sum is σ = 9754091343360. Its totient is φ = 1737016680960.

The previous prime is 4464484006429. The next prime is 4464484006453. The reversal of 4464484006444 is 4446004844644.

It is a junction number, because it is equal to n+sod(n) for n = 4464484006391 and 4464484006400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9745189 + ... + 10193020.

It is an arithmetic number, because the mean of its divisors is an integer number (203210236320).

Almost surely, 24464484006444 is an apocalyptic number.

4464484006444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4464484006444 is an abundant number, since it is smaller than the sum of its proper divisors (5289607336916).

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

4464484006444 is a wasteful number, since it uses less digits than its factorization.

4464484006444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19938958 (or 19938956 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 52.

The spelling of 4464484006444 in words is "four trillion, four hundred sixty-four billion, four hundred eighty-four million, six thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 727 1454 2908 5089 7997 10178 15994 20356 31988 55979 111958 223916 19938209 39876418 79752836 139567463 219320299 279134926 438640598 558269852 877281196 1535242093 3070484186 6140968372 14495077943 28990155886 57980311772 101465545601 159445857373 202931091202 318891714746 405862182404 637783429492 1116121001611 2232242003222 4464484006444