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664000046262216 = 23342344551801279
BaseRepresentation
bin1001011011111001111000111…
…0111000110110011111001000
310020002000210011220000202110000
42112332132032320312133020
51144012434043320342331
610312113224332323000
7256601264066521206
oct22676361670663710
93202023156022400
10664000046262216
11182630924740154
126257b7a8013460
1322666c21930821
14b9d7ab9108076
1551b7271d180e6
hex25be78ee367c8

664000046262216 has 80 divisors (see below), whose sum is σ = 1940676463756800. Its totient is φ = 211710159673056.

The previous prime is 664000046262199. The next prime is 664000046262313. The reversal of 664000046262216 is 612262640000466.

664000046262216 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 0 + 0 + 0 + 4 + 6 + 2 + 622 + 16 = 666.

It is a super-2 number, since 2×6640000462622162 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22275885736 + ... + 22275915543.

It is an arithmetic number, because the mean of its divisors is an integer number (24258455796960).

Almost surely, 2664000046262216 is an apocalyptic number.

It is an amenable number.

664000046262216 is an abundant number, since it is smaller than the sum of its proper divisors (1276676417494584).

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

664000046262216 is a wasteful number, since it uses less digits than its factorization.

664000046262216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44551801320 (or 44551801307 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 664000046262216 in words is "six hundred sixty-four trillion, forty-six million, two hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 44551801279 89103602558 133655403837 178207205116 267310807674 356414410232 400966211511 534621615348 801932423022 1024691429417 1069243230696 1202898634533 1603864846044 2049382858834 2405797269066 3074074288251 3207729692088 3608695903599 4098765717668 4811594538132 6148148576502 7217391807198 8197531435336 9222222864753 9623189076264 12296297153004 14434783614396 18444445729506 24592594306008 27666668594259 28869567228792 36888891459012 55333337188518 73777782918024 83000005782777 110666674377036 166000011565554 221333348754072 332000023131108 664000046262216