Search a number
-
+
68232046464 = 273417735303
BaseRepresentation
bin111111100010111100…
…100110011110000000
320112010012122002120000
4333202330212132000
52104214400441324
651202333320000
74633565553111
oct774274463600
9215105562500
1068232046464
1126a3423644a
1211282936000
136585097bba
143433cc2208
151b952d79c9
hexfe2f26780

68232046464 has 320 divisors, whose sum is σ = 217988353440. Its totient is φ = 21108916224.

The previous prime is 68232046429. The next prime is 68232046507. The reversal of 68232046464 is 46464023286.

It is a super-2 number, since 2×682320464642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12864037 + ... + 12869339.

Almost surely, 268232046464 is an apocalyptic number.

68232046464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68232046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108994176720).

68232046464 is an abundant number, since it is smaller than the sum of its proper divisors (149756306976).

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

68232046464 is a wasteful number, since it uses less digits than its factorization.

68232046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 68232046464 in words is "sixty-eight billion, two hundred thirty-two million, forty-six thousand, four hundred sixty-four".