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66208795968 = 2637192592763
BaseRepresentation
bin111101101010010110…
…100000110101000000
320022220012112022122110
4331222112200311000
52041043422432333
650225500135320
74532500323450
oct755226406500
9208805468573
1066208795968
11260961593a7
12109b9237540
136321b6ca63
1432c12d3d60
151ac7881063
hexf6a5a0d40

66208795968 has 112 divisors (see below), whose sum is σ = 210739857920. Its totient is φ = 17921170944.

The previous prime is 66208795943. The next prime is 66208795981. The reversal of 66208795968 is 86959780266.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66208795899 and 66208795908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270846 + ... + 1321917.

Almost surely, 266208795968 is an apocalyptic number.

It is an amenable number.

66208795968 is an abundant number, since it is smaller than the sum of its proper divisors (144531061952).

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

66208795968 is a wasteful number, since it uses less digits than its factorization.

66208795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592804 (or 2592794 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 66208795968 in words is "sixty-six billion, two hundred eight million, seven hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 2592763 5185526 7778289 10371052 15556578 18149341 20742104 31113156 36298682 41484208 49262497 54448023 62226312 72597364 82968416 98524994 108896046 124452624 145194728 147787491 165936832 197049988 217792092 248905248 290389456 295574982 344837479 394099976 435584184 497810496 580778912 591149964 689674958 788199952 871168368 1034512437 1161557824 1182299928 1379349916 1576399904 1742336736 2069024874 2364599856 2758699832 3152799808 3484673472 4138049748 4729199712 5517399664 8276099496 9458399424 11034799328 16552198992 22069598656 33104397984 66208795968