Search a number
-
+
66083978142 = 2347134482701
BaseRepresentation
bin111101100010111010…
…010111101110011110
320022120111122220210000
4331202322113232132
52040314444300032
650205240555130
74526423355210
oct754272275636
9208514586700
1066083978142
1126031756976
1210983482aa6
136302049c60
1432ac8c25b0
151abb927e7c
hexf62e97b9e

66083978142 has 80 divisors (see below), whose sum is σ = 182248732512. Its totient is φ = 17428737600.

The previous prime is 66083978141. The next prime is 66083978159. The reversal of 66083978142 is 24187938066.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66083978141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2226609 + ... + 2256092.

Almost surely, 266083978142 is an apocalyptic number.

66083978142 is an abundant number, since it is smaller than the sum of its proper divisors (116164754370).

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

66083978142 is a wasteful number, since it uses less digits than its factorization.

66083978142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482735 (or 4482726 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 66083978142 in words is "sixty-six billion, eighty-three million, nine hundred seventy-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 14742 4482701 8965402 13448103 26896206 31378907 40344309 58275113 62757814 80688618 94136721 116550226 121032927 174825339 188273442 242065854 282410163 349650678 363098781 407925791 524476017 564820326 726197562 815851582 847230489 1048952034 1223777373 1573428051 1694460978 2447554746 2541691467 3146856102 3671332119 4720284153 5083382934 7342664238 9440568306 11013996357 22027992714 33041989071 66083978142