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16446641414 = 2719292371987
BaseRepresentation
bin11110101000100101…
…11101010100000110
31120110012020221122012
433110102331110012
5232140320011124
611315552334222
71121364100610
oct172422752406
946405227565
1016446641414
116a7a778135
12322bb44372
1317214782a8
14b203d7db0
15663d1de0e
hex3d44bd506

16446641414 has 96 divisors (see below), whose sum is σ = 31583435520. Its totient is φ = 6269913216.

The previous prime is 16446641371. The next prime is 16446641423. The reversal of 16446641414 is 41414664461.

16446641414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8276129 + ... + 8278115.

It is an arithmetic number, because the mean of its divisors is an integer number (328994120).

Almost surely, 216446641414 is an apocalyptic number.

16446641414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16446641414 is a deficient number, since it is larger than the sum of its proper divisors (15136794106).

16446641414 is a wasteful number, since it uses less digits than its factorization.

16446641414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2081 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The spelling of 16446641414 in words is "sixteen billion, four hundred forty-six million, six hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 7 14 19 29 37 38 58 74 133 203 259 266 406 518 551 703 841 1073 1102 1406 1682 1987 2146 3857 3974 4921 5887 7511 7714 9842 11774 13909 15022 15979 20387 27818 31117 31958 37753 40774 57623 62234 73519 75506 111853 115246 142709 147038 217819 223706 264271 285418 403361 435638 514633 528542 591223 806722 1029266 1094837 1182446 1396861 1671067 2132051 2189674 2793722 3342134 4138561 4264102 7663859 8277122 9778027 11697469 14924357 15327718 19556054 23394938 29848714 31750273 40508969 61829479 63500546 81017938 123658958 222251911 283562783 432806353 444503822 567125566 865612706 1174760101 2349520202 8223320707 16446641414