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564145216463465 = 571317197929339839
BaseRepresentation
bin1000000001000101100100101…
…1001110101010001001101001
32201222110202102010001112200122
42000101121023032222021221
51042420423400403312330
65315500422403013025
7226554101241610160
oct20021311316521151
92658422363045618
10564145216463465
1115383270850490a
125333315766a175
131b2a288655b260
149d44aba44c3d7
154534aa20e15e5
hex201164b3aa269

564145216463465 has 128 divisors (see below), whose sum is σ = 886806701383680. Its totient is φ = 334329939836928.

The previous prime is 564145216463453. The next prime is 564145216463473. The reversal of 564145216463465 is 564364612541465.

It is not a de Polignac number, because 564145216463465 - 212 = 564145216459369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 564145216463398 and 564145216463407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14160607016 + ... + 14160646854.

It is an arithmetic number, because the mean of its divisors is an integer number (6928177354560).

Almost surely, 2564145216463465 is an apocalyptic number.

It is an amenable number.

564145216463465 is a deficient number, since it is larger than the sum of its proper divisors (322661484920215).

564145216463465 is a wasteful number, since it uses less digits than its factorization.

564145216463465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49371.

The product of its digits is 248832000, while the sum is 62.

The spelling of 564145216463465 in words is "five hundred sixty-four trillion, one hundred forty-five billion, two hundred sixteen million, four hundred sixty-three thousand, four hundred sixty-five".

Divisors: 1 5 7 13 17 35 65 85 91 119 197 221 455 595 985 1105 1379 1547 2561 3349 6895 7735 9293 12805 16745 17927 23443 39839 43537 46465 65051 89635 117215 120809 157981 199195 217685 278873 304759 325255 517907 604045 677263 789905 845663 1105867 1394365 1523795 1830721 2053753 2589535 3386315 3625349 4228315 4740841 5529335 7848283 8804419 9153605 10268765 12815047 14376271 18126745 23704205 23799373 31122257 39241415 44022095 54937981 61630933 64075235 71881355 102027679 118996865 133420811 155611285 166595611 217855799 274689905 308154665 370223827 404589341 510138395 667104055 714193753 832978055 933945677 1089278995 1734470543 1851119135 2022946705 2591566789 2832125387 3570968765 4669728385 4812909751 6293805059 8672352715 12141293801 12957833945 14160626935 24064548755 31469025295 33690368257 44056635413 60706469005 72934093919 81819465767 168451841285 220283177065 364670469595 409097328835 510538657433 572736260369 948143220947 1239879596623 2552693287165 2863681301845 4740716104735 6199397983115 6637002546629 8679157176361 16118434756099 33185012733145 43395785881805 80592173780495 112829043292693 564145216463465