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66465625968 = 24327173878713
BaseRepresentation
bin111101111001101010…
…001111011101110000
320100120002210122011200
4331321222033131300
52042110200012333
650311153011200
74542036333120
oct757152173560
9210502718150
1066465625968
11262081275a5
1210a6b253b00
136363134181
14330746ac80
151ae01b3c13
hexf79a8f770

66465625968 has 120 divisors (see below), whose sum is σ = 225089530848. Its totient is φ = 17873104896.

The previous prime is 66465625931. The next prime is 66465625991. The reversal of 66465625968 is 86952656466.

66465625968 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 562 + 5 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922221 + ... + 1956492.

Almost surely, 266465625968 is an apocalyptic number.

66465625968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66465625968 is an abundant number, since it is smaller than the sum of its proper divisors (158623904880).

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

66465625968 is a wasteful number, since it uses less digits than its factorization.

66465625968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878751 (or 3878742 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 66465625968 in words is "sixty-six billion, four hundred sixty-five million, six hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 3878713 7757426 11636139 15514852 23272278 27150991 31029704 34908417 46544556 54301982 62059408 65938121 69816834 81452973 93089112 108603964 131876242 139633668 162905946 186178224 197814363 217207928 244358919 263752484 279267336 325811892 395628726 434415856 461566847 488717838 527504968 558534672 593443089 651623784 791257452 923133694 977435676 1055009936 1186886178 1303247568 1384700541 1582514904 1846267388 1954871352 2373772356 2769401082 3165029808 3692534776 3909742704 4154101623 4747544712 5538802164 7385069552 8308203246 9495089424 11077604328 16616406492 22155208656 33232812984 66465625968