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16688370816 = 273313371447
BaseRepresentation
bin11111000101011010…
…00101010010000000
31121002001010002001000
433202231011102000
5233134210331231
611355545412000
71130360545215
oct174255052200
947061102030
1016688370816
117094171aa7
123298a9a000
13175c583340
14b4455db0c
1567a16c6e6
hex3e2b45480

16688370816 has 128 divisors (see below), whose sum is σ = 53042774400. Its totient is φ = 5134869504.

The previous prime is 16688370799. The next prime is 16688370817. The reversal of 16688370816 is 61807388661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16688370817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140796 + ... + 230651.

It is an arithmetic number, because the mean of its divisors is an integer number (414396675).

Almost surely, 216688370816 is an apocalyptic number.

16688370816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16688370816 is an abundant number, since it is smaller than the sum of its proper divisors (36354403584).

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

16688370816 is a wasteful number, since it uses less digits than its factorization.

16688370816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371483 (or 371465 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 16688370816 in words is "sixteen billion, six hundred eighty-eight million, three hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 371447 742894 1114341 1485788 2228682 2971576 3343023 4457364 4828811 5943152 6686046 8914728 9657622 10029069 11886304 13372092 14486433 17829456 19315244 20058138 23772608 26744184 28972866 35658912 38630488 40116276 43459299 47545216 53488368 57945732 71317824 77260976 80232552 86918598 106976736 115891464 130377897 142635648 154521952 160465104 173837196 213953472 231782928 260755794 309043904 320930208 347674392 427906944 463565856 521511588 618087808 641860416 695348784 927131712 1043023176 1283720832 1390697568 1854263424 2086046352 2781395136 4172092704 5562790272 8344185408 16688370816