Search a number
-
+
67213252665601 = 7192334763320737
BaseRepresentation
bin11110100100001010011100…
…00011001010000100000001
322210222112011010212100100121
433102011032003022010001
532302210220140244401
6354541201512420241
720104666026103660
oct1722051603120401
9283875133770317
1067213252665601
111a463a8697a449
1276564663a7681
132b6724b031743
1412851d2b8add7
157b8586e36ca1
hex3d214e0ca101

67213252665601 has 32 divisors (see below), whose sum is σ = 84616768604160. Its totient is φ = 52055723782656.

The previous prime is 67213252665589. The next prime is 67213252665673. The reversal of 67213252665601 is 10656625231276.

It is a cyclic number.

It is not a de Polignac number, because 67213252665601 - 219 = 67213252141313 is a prime.

It is a super-3 number, since 3×672132526656013 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67213252662601) 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 31 ways as a sum of consecutive naturals, for example, 30598896 + ... + 32721841.

It is an arithmetic number, because the mean of its divisors is an integer number (2644274018880).

Almost surely, 267213252665601 is an apocalyptic number.

It is an amenable number.

67213252665601 is a deficient number, since it is larger than the sum of its proper divisors (17403515938559).

67213252665601 is a wasteful number, since it uses less digits than its factorization.

67213252665601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63321133.

The product of its (nonzero) digits is 5443200, while the sum is 52.

Adding to 67213252665601 its reverse (10656625231276), we get a palindrome (77869877896877).

The spelling of 67213252665601 in words is "sixty-seven trillion, two hundred thirteen billion, two hundred fifty-two million, six hundred sixty-five thousand, six hundred one".

Divisors: 1 7 19 23 133 161 347 437 2429 3059 6593 7981 46151 55867 151639 1061473 63320737 443245159 1203094003 1456376951 8421658021 10194638657 21972295739 27671162069 153806070173 193698134483 417473619041 505362801997 2922315333287 3537539613979 9601893237943 67213252665601