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16442075576465 = 5721161443225769
BaseRepresentation
bin1110111101000011100000…
…0100101111100010010001
32011012211212111221220212022
43233100320010233202101
54123341332321421330
654545215113541225
73314620650302600
oct357207004574221
964184774856768
1016442075576465
11526a055023160
121a16701a14815
13923633bc5056
1440bb2d1bba37
151d7a695ebae5
hexef43812f891

16442075576465 has 96 divisors (see below), whose sum is σ = 25506345882240. Its totient is φ = 10058777164800.

The previous prime is 16442075576357. The next prime is 16442075576489. The reversal of 16442075576465 is 56467557024461.

It is not a de Polignac number, because 16442075576465 - 236 = 16373356099729 is a prime.

It is a super-3 number, since 3×164420755764653 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442075576398 and 16442075576407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72714101 + ... + 72939869.

It is an arithmetic number, because the mean of its divisors is an integer number (265691102940).

Almost surely, 216442075576465 is an apocalyptic number.

It is an amenable number.

16442075576465 is a deficient number, since it is larger than the sum of its proper divisors (9064270305775).

16442075576465 is a wasteful number, since it uses less digits than its factorization.

16442075576465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226303 (or 226296 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 62.

The spelling of 16442075576465 in words is "sixteen trillion, four hundred forty-two billion, seventy-five million, five hundred seventy-six thousand, four hundred sixty-five".

Divisors: 1 5 7 11 35 49 55 61 77 245 305 385 427 443 539 671 2135 2215 2695 2989 3101 3355 4697 4873 14945 15505 21707 23485 24365 27023 32879 34111 108535 135115 164395 170555 189161 225769 238777 297253 945805 1128845 1193885 1324127 1486265 1580383 2080771 2483459 6620635 7901915 10403855 11062681 12417295 13771909 14565397 17384213 55313405 68859545 72826985 86921065 96403363 100015667 121689491 151490999 482016815 500078335 608447455 674823541 700109669 757454995 1060436993 1100172337 3374117705 3500548345 4900767683 5302184965 5500861685 6100955687 7423058951 7701206359 24503838415 30504778435 37115294755 38506031795 42706689809 53908444513 67110512557 213533449045 269542222565 298946828663 335552562785 469773587899 1494734143315 2348867939495 3288415115293 16442075576465