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16444462408 = 2311379113173
BaseRepresentation
bin11110101000010101…
…01001010101001000
31120110001011020121021
433110022221111020
5232134240244113
611315433522224
71121336424043
oct172412512510
946401136537
1016444462408
116a7951a000
12322b273374
131720b9453a
14b1ddcbc5a
15663a3d48d
hex3d42a9548

16444462408 has 128 divisors (see below), whose sum is σ = 34847884800. Its totient is φ = 7272545280.

The previous prime is 16444462393. The next prime is 16444462417. The reversal of 16444462408 is 80426444461.

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, 95054610 + ... + 95054782.

It is an arithmetic number, because the mean of its divisors is an integer number (272249100).

Almost surely, 216444462408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16444462408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423942400).

16444462408 is an abundant number, since it is smaller than the sum of its proper divisors (18403422392).

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

16444462408 is a wasteful number, since it uses less digits than its factorization.

16444462408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 43.

The spelling of 16444462408 in words is "sixteen billion, four hundred forty-four million, four hundred sixty-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 79 88 113 121 158 173 226 242 316 346 452 484 632 692 869 904 968 1243 1331 1384 1738 1903 2486 2662 3476 3806 4972 5324 6952 7612 8927 9559 9944 10648 13667 13673 15224 17854 19118 19549 20933 27334 27346 35708 38236 39098 41866 54668 54692 71416 76472 78196 83732 98197 105149 109336 109384 150337 150403 156392 167464 196394 210298 215039 230263 300674 300806 392788 420596 430078 460526 601348 601612 785576 841192 860156 921052 1080167 1202696 1203224 1544371 1653707 1720312 1842104 2160334 2365429 3088742 3307414 4320668 4730858 6177484 6614828 8641336 9461716 11881837 12354968 13229656 16988081 18190777 18923432 23763674 26019719 33976162 36381554 47527348 52039438 67952324 72763108 95054696 104078876 135904648 145526216 186868891 208157752 373737782 747475564 1494951128 2055557801 4111115602 8222231204 16444462408