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66400062113 = 711432479923
BaseRepresentation
bin111101110101110000…
…001000101010100001
320100101112102122110202
4331311300020222201
52041441403441423
650300451434545
74540312133630
oct756560105241
9210345378422
1066400062113
11261841164a0
1210a512b5a55
1363526898a8
1432dc881517
151ad9562728
hexf75c08aa1

66400062113 has 48 divisors (see below), whose sum is σ = 86566496256. Its totient is φ = 49456804320.

The previous prime is 66400062103. The next prime is 66400062121. The reversal of 66400062113 is 31126000466.

It is a happy number.

It is not a de Polignac number, because 66400062113 - 26 = 66400062049 is a prime.

It is a super-2 number, since 2×664000621132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66400062103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6686570 + ... + 6696492.

It is an arithmetic number, because the mean of its divisors is an integer number (1803468672).

Almost surely, 266400062113 is an apocalyptic number.

It is an amenable number.

66400062113 is a deficient number, since it is larger than the sum of its proper divisors (20166434143).

66400062113 is a wasteful number, since it uses less digits than its factorization.

66400062113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 66400062113 its reverse (31126000466), we get a palindrome (97526062579).

The spelling of 66400062113 in words is "sixty-six billion, four hundred million, sixty-two thousand, one hundred thirteen".

Divisors: 1 7 11 43 47 77 301 329 473 517 1849 2021 3311 3619 9923 12943 14147 20339 22231 69461 86903 109153 142373 155617 426689 466381 608321 764071 955933 2986823 3264667 4693579 5130191 6691531 18347627 20054383 32855053 35911337 128433389 140380681 201823897 220598213 862338469 1412767279 1544187491 6036369283 9485723159 66400062113