Search a number
-
+
67414089696 = 253171914091543
BaseRepresentation
bin111110110010001100…
…010101111111100000
320110000012111120210220
4332302030111333200
52101031001332241
650545233523040
74604404210362
oct766214257740
9213005446726
1067414089696
1126654550418
1211094a13480
136484798905
143397400d32
151b485b5166
hexfb2315fe0

67414089696 has 192 divisors, whose sum is σ = 197501068800. Its totient is φ = 20009189376.

The previous prime is 67414089667. The next prime is 67414089703. The reversal of 67414089696 is 69698041476.

It is a super-3 number, since 3×674140896963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43689501 + ... + 43691043.

It is an arithmetic number, because the mean of its divisors is an integer number (1028651400).

Almost surely, 267414089696 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 67414089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98750534400).

67414089696 is an abundant number, since it is smaller than the sum of its proper divisors (130086979104).

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

67414089696 is a wasteful number, since it uses less digits than its factorization.

67414089696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 67414089696 in words is "sixty-seven billion, four hundred fourteen million, eighty-nine thousand, six hundred ninety-six".