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4144803664 = 243147177797
BaseRepresentation
bin1111011100001100…
…1010111101010000
3101200212011211201211
43313003022331100
531442032204124
61523141305504
7204466151461
oct36703127520
911625154654
104144803664
1118376a7381
12978105294
13510921361
142b4688d68
15193d29e94
hexf70caf50

4144803664 has 40 divisors (see below), whose sum is σ = 8466029568. Its totient is φ = 1962867840.

The previous prime is 4144803629. The next prime is 4144803667. The reversal of 4144803664 is 4663084414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144803667) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65587 + ... + 112210.

Almost surely, 24144803664 is an apocalyptic number.

It is an amenable number.

4144803664 is an abundant number, since it is smaller than the sum of its proper divisors (4321225904).

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

4144803664 is a wasteful number, since it uses less digits than its factorization.

4144803664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177883 (or 177877 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 4144803664 is about 64380.1496115068. The cubic root of 4144803664 is about 1606.3295710625.

The spelling of 4144803664 in words is "four billion, one hundred forty-four million, eight hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 23312 177797 355594 711188 1422376 2844752 5511707 8356459 11023414 16712918 22046828 33425836 44093656 66851672 88187312 133703344 259050229 518100458 1036200916 2072401832 4144803664