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64669316976 = 24331153256771
BaseRepresentation
bin111100001110100101…
…110111011101110000
320011220220201200111000
4330032211313131300
52024420321120401
645413023522000
74446365060505
oct741645673560
9204826650430
1064669316976
1125476164010
1210649759300
136137c37144
1431b6a754ac
151a37639186
hexf0e977770

64669316976 has 160 divisors (see below), whose sum is σ = 206321437440. Its totient is φ = 19226937600.

The previous prime is 64669316953. The next prime is 64669316977. The reversal of 64669316976 is 67961396646.

64669316976 is a `hidden beast` number, since 6 + 466 + 9 + 3 + 169 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64669316977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123471 + ... + 380241.

It is an arithmetic number, because the mean of its divisors is an integer number (1289508984).

Almost surely, 264669316976 is an apocalyptic number.

64669316976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64669316976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103160718720).

64669316976 is an abundant number, since it is smaller than the sum of its proper divisors (141652120464).

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

64669316976 is a wasteful number, since it uses less digits than its factorization.

64669316976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256852 (or 256840 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 64669316976 in words is "sixty-four billion, six hundred sixty-nine million, three hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 88 99 106 108 132 144 159 176 198 212 216 264 297 318 396 424 432 477 528 583 594 636 792 848 954 1166 1188 1272 1431 1584 1749 1908 2332 2376 2544 2862 3498 3816 4664 4752 5247 5724 6996 7632 9328 10494 11448 13992 15741 20988 22896 27984 31482 41976 62964 83952 125928 251856 256771 513542 770313 1027084 1540626 2054168 2310939 2824481 3081252 4108336 4621878 5648962 6162504 6932817 8473443 9243756 11297924 12325008 13608863 13865634 16946886 18487512 22595848 25420329 27217726 27731268 33893772 36975024 40826589 45191696 50840658 54435452 55462536 67787544 76260987 81653178 101681316 108870904 110925072 122479767 135575088 149697493 152521974 163306356 203362632 217741808 244959534 299394986 305043948 326612712 367439301 406725264 449092479 489919068 598789972 610087896 653225424 734878602 898184958 979838136 1197579944 1220175792 1347277437 1469757204 1796369916 1959676272 2395159888 2694554874 2939514408 3592739832 4041832311 5389109748 5879028816 7185479664 8083664622 10778219496 16167329244 21556438992 32334658488 64669316976