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66466866466 = 271121314892027
BaseRepresentation
bin111101111001101110…
…111110010100100010
320100120012010122211001
4331321232332110202
52042111004211331
650311235342214
74542053020540
oct757156762442
9210505118731
1066466866466
11262088a4600
1210a6b75196a
1363634799b0
1433076b0d90
151ae035b561
hexf79bbe522

66466866466 has 96 divisors (see below), whose sum is σ = 135034623360. Its totient is φ = 23876328960.

The previous prime is 66466866463. The next prime is 66466866467.

66466866466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66466866398 and 66466866407.

It is not an unprimeable number, because it can be changed into a prime (66466866463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32789745 + ... + 32791771.

It is an arithmetic number, because the mean of its divisors is an integer number (1406610660).

Almost surely, 266466866466 is an apocalyptic number.

66466866466 is an abundant number, since it is smaller than the sum of its proper divisors (68567756894).

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

66466866466 is a wasteful number, since it uses less digits than its factorization.

66466866466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3549 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 64.

The spelling of 66466866466 in words is "sixty-six billion, four hundred sixty-six million, eight hundred sixty-six thousand, four hundred sixty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1489 1573 1694 2002 2027 2978 3146 4054 10423 11011 14189 16379 19357 20846 22022 22297 26351 28378 32758 38714 44594 52702 114653 135499 156079 180169 184457 212927 229306 245267 270998 289861 312158 360338 368914 425854 490534 579722 1261183 1490489 1716869 2029027 2342197 2522366 2980978 3018203 3188471 3433738 4058054 4684394 6036406 6376942 16395379 21127421 22319297 32790758 33200233 39236639 42254842 44638594 66400466 78473278 232401631 274656473 365202563 431603029 464803262 549312946 730405126 863206058 2556417941 3021221203 4747633319 5112835882 6042442406 9495266638 33233433233 66466866466