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16442781048 = 23327317917477
BaseRepresentation
bin11110101000001000…
…01110110101111000
31120102220222211012200
433110010032311320
5232133322443143
611315333510200
71121316222111
oct172404166570
946386884180
1016442781048
116a78580851
12322a7a2360
131720726155
14b1dab1208
1566380a1d3
hex3d410ed78

16442781048 has 96 divisors (see below), whose sum is σ = 45397357200. Its totient is φ = 5375337984.

The previous prime is 16442781037. The next prime is 16442781049. The reversal of 16442781048 is 84018724461.

16442781048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164427810483 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442780994 and 16442781012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442781049) 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 23 ways as a sum of consecutive naturals, for example, 932086 + ... + 949562.

Almost surely, 216442781048 is an apocalyptic number.

16442781048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442781048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22698678600).

16442781048 is an abundant number, since it is smaller than the sum of its proper divisors (28954576152).

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

16442781048 is a wasteful number, since it uses less digits than its factorization.

16442781048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17741 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 16442781048 in words is "sixteen billion, four hundred forty-two million, seven hundred eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 179 219 292 358 438 537 584 657 716 876 1074 1314 1432 1611 1752 2148 2628 3222 4296 5256 6444 12888 13067 17477 26134 34954 39201 52268 52431 69908 78402 104536 104862 117603 139816 156804 157293 209724 235206 313608 314586 419448 470412 629172 940824 1258344 1275821 2551642 3128383 3827463 5103284 6256766 7654926 9385149 10206568 11482389 12513532 15309852 18770298 22964778 25027064 28155447 30619704 37540596 45929556 56310894 75081192 91859112 112621788 225243576 228371959 456743918 685115877 913487836 1370231754 1826975672 2055347631 2740463508 4110695262 5480927016 8221390524 16442781048