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564145216463466 = 232116196043486329
BaseRepresentation
bin1000000001000101100100101…
…1001110101010001001101010
32201222110202102010001112200200
42000101121023032222021222
51042420423400403312331
65315500422403013030
7226554101241610161
oct20021311316521152
92658422363045620
10564145216463466
11153832708504910
125333315766a176
131b2a288655b261
149d44aba44c3d8
154534aa20e15e6
hex201164b3aa26a

564145216463466 has 96 divisors (see below), whose sum is σ = 1355310622336320. Its totient is φ = 168148489593600.

The previous prime is 564145216463453. The next prime is 564145216463473. The reversal of 564145216463466 is 664364612541465.

564145216463466 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 4 + 5 + 2 + 164 + 6 + 3 + 466 = 666.

It is a super-2 number, since 2×5641452164634662 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159764190 + ... + 1160250518.

It is an arithmetic number, because the mean of its divisors is an integer number (14117818982670).

Almost surely, 2564145216463466 is an apocalyptic number.

564145216463466 is an abundant number, since it is smaller than the sum of its proper divisors (791165405872854).

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

564145216463466 is a wasteful number, since it uses less digits than its factorization.

564145216463466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582452 (or 582449 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 63.

The spelling of 564145216463466 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-six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 12078 96043 192086 288129 486329 576258 864387 972658 1056473 1458987 1728774 2112946 2917974 3169419 4376961 5349619 5858623 6338838 8753922 9508257 10699238 11717246 16048857 17575869 19016514 29666069 32097714 35151738 48146571 52727607 59332138 64444853 88998207 96293142 105455214 128889706 177996414 193334559 266994621 326326759 386669118 533989242 580003677 652653518 978980277 1160007354 1957960554 2936940831 5873881662 46708496147 93416992294 140125488441 280250976882 420376465323 513793457617 840752930646 1027586915234 1541380372851 2849218264967 3082760745702 4624141118553 5698436529934 8547654794901 9248282237106 17095309589802 25642964384703 31341400914637 51285928769406 62682801829274 94024202743911 188048405487822 282072608231733 564145216463466