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664159041 = 337131941347
BaseRepresentation
bin100111100101100…
…100001101000001
31201021201202221000
4213211210031001
52330011042131
6145523122213
722313154510
oct4745441501
91637652830
10664159041
1131099a577
12166513369
13a77a0920
14642c8677
153d492ce6
hex27964341

664159041 has 128 divisors (see below), whose sum is σ = 1309593600. Its totient is φ = 322859520.

The previous prime is 664159039. The next prime is 664159049. The reversal of 664159041 is 140951466.

664159041 is a `hidden beast` number, since 6 + 64 + 1 + 590 + 4 + 1 = 666.

It is not a de Polignac number, because 664159041 - 21 = 664159039 is a prime.

It is a super-2 number, since 2×6641590412 = 882214463484079362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 664158987 and 664159005.

It is not an unprimeable number, because it can be changed into a prime (664159049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1913830 + ... + 1914176.

It is an arithmetic number, because the mean of its divisors is an integer number (10231200).

Almost surely, 2664159041 is an apocalyptic number.

It is an amenable number.

664159041 is a deficient number, since it is larger than the sum of its proper divisors (645434559).

664159041 is a wasteful number, since it uses less digits than its factorization.

664159041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 664159041 is about 25771.2832625774. The cubic root of 664159041 is about 872.4837821524.

The spelling of 664159041 in words is "six hundred sixty-four million, one hundred fifty-nine thousand, forty-one".

Divisors: 1 3 7 9 13 19 21 27 39 41 57 63 91 117 123 133 171 189 247 273 287 347 351 369 399 513 533 741 779 819 861 1041 1107 1197 1599 1729 2223 2337 2429 2457 2583 3123 3591 3731 4511 4797 5187 5453 6593 6669 7011 7287 7749 9369 10127 11193 13533 14227 14391 15561 16359 19779 21033 21861 30381 31577 33579 40599 42681 46151 46683 49077 59337 65583 70889 85709 91143 94731 99589 100737 121797 128043 138453 147231 178011 184951 212667 257127 270313 273429 284193 298767 384129 415359 554853 599963 638001 771381 810939 852579 896301 1246077 1294657 1664559 1799889 1892191 1914003 2314143 2432817 2688903 3514069 3883971 4993677 5399667 5676573 7298451 10542207 11651913 16199001 17029719 24598483 31626621 34955739 51089157 73795449 94879863 221386347 664159041