Search a number
-
+
66805768848 = 24371316791583
BaseRepresentation
bin111110001101111011…
…110010001010010000
320101102210211200111010
4332031323302022100
52043304234100343
650405023250520
74553336444250
oct761573621220
9211383750433
1066805768848
1126372129a15
1210b45149a40
1363b8748850
14333a6cd960
151b0eea1d33
hexf8def2290

66805768848 has 160 divisors (see below), whose sum is σ = 213682323456. Its totient is φ = 17513409024.

The previous prime is 66805768847. The next prime is 66805768849. The reversal of 66805768848 is 84886750866.

It is an interprime number because it is at equal distance from previous prime (66805768847) and next prime (66805768849).

It is not an unprimeable number, because it can be changed into a prime (66805768847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 683665 + ... + 775247.

Almost surely, 266805768848 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 66805768848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106841161728).

66805768848 is an abundant number, since it is smaller than the sum of its proper divisors (146876554608).

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

66805768848 is a wasteful number, since it uses less digits than its factorization.

66805768848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91781 (or 91775 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 66805768848 in words is "sixty-six billion, eight hundred five million, seven hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 167 168 182 208 273 312 334 336 364 501 546 624 668 728 1002 1092 1169 1336 1456 2004 2171 2184 2338 2672 3507 4008 4342 4368 4676 6513 7014 8016 8684 9352 13026 14028 15197 17368 18704 26052 28056 30394 34736 45591 52104 56112 60788 91182 91583 104208 121576 182364 183166 243152 274749 364728 366332 549498 641081 729456 732664 1098996 1190579 1282162 1465328 1923243 2197992 2381158 2564324 3571737 3846486 4395984 4762316 5128648 7143474 7692972 8334053 9524632 10257296 14286948 15294361 15385944 16668106 19049264 25002159 28573896 30588722 30771888 33336212 45883083 50004318 57147792 61177444 66672424 91766166 100008636 107060527 122354888 133344848 183532332 198826693 200017272 214121054 244709776 321181581 367064664 397653386 400034544 428242108 596480079 642363162 734129328 795306772 856484216 1192960158 1284726324 1391786851 1590613544 1712968432 2385920316 2569452648 2783573702 3181227088 4175360553 4771840632 5138905296 5567147404 8350721106 9543681264 11134294808 16701442212 22268589616 33402884424 66805768848