Search a number
-
+
664655796 = 223273192833
BaseRepresentation
bin100111100111011…
…101011110110100
31201022200000100100
4213213131132310
52330122441141
6145541514100
722320324000
oct4747353664
91638600310
10664655796
113111a9812
12166712930
13a7915a6c
14643b7700
153d5400b6
hex279dd7b4

664655796 has 144 divisors (see below), whose sum is σ = 2063152000. Its totient is φ = 179843328.

The previous prime is 664655767. The next prime is 664655833. The reversal of 664655796 is 697556466.

664655796 is a `hidden beast` number, since 6 + 6 + 4 + 65 + 579 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233196 + ... + 236028.

Almost surely, 2664655796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664655796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031576000).

664655796 is an abundant number, since it is smaller than the sum of its proper divisors (1398496204).

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

664655796 is a wasteful number, since it uses less digits than its factorization.

664655796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2864 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 664655796 is about 25780.9192233326. The cubic root of 664655796 is about 872.7012514850.

The spelling of 664655796 in words is "six hundred sixty-four million, six hundred fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 588 684 686 798 882 931 1029 1197 1372 1596 1764 1862 2058 2394 2793 2833 3087 3724 4116 4788 5586 5666 6174 6517 8379 8499 11172 11332 12348 13034 16758 16998 19551 19831 25497 26068 33516 33996 39102 39662 50994 53827 58653 59493 78204 79324 101988 107654 117306 118986 138817 161481 178479 215308 234612 237972 277634 322962 356958 376789 416451 484443 555268 645924 713916 753578 832902 968886 971719 1130367 1249353 1507156 1665804 1937772 1943438 2260734 2498706 2637523 2915157 3391101 3886876 4521468 4997412 5275046 5830314 6782202 7912569 8745471 10550092 11660628 13564404 15825138 17490942 18462661 23737707 31650276 34981884 36925322 47475414 55387983 73850644 94950828 110775966 166163949 221551932 332327898 664655796