Search a number
-
+
68448433504 = 251123312231223
BaseRepresentation
bin111111101111110110…
…000011010101100000
320112200021210200202211
4333233312003111200
52110140244333004
651240023251504
74642134041113
oct775766032540
9215607720684
1068448433504
11270353a1210
12113232a9b94
1365bab6bc79
14345492c57a
151ba92cc504
hexfefd83560

68448433504 has 192 divisors, whose sum is σ = 159188779008. Its totient is φ = 28647590400.

The previous prime is 68448433499. The next prime is 68448433507. The reversal of 68448433504 is 40533484486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68448433507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55967037 + ... + 55968259.

It is an arithmetic number, because the mean of its divisors is an integer number (829108224).

Almost surely, 268448433504 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 68448433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79594389504).

68448433504 is an abundant number, since it is smaller than the sum of its proper divisors (90740345504).

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

68448433504 is a wasteful number, since it uses less digits than its factorization.

68448433504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 68448433504 in words is "sixty-eight billion, four hundred forty-eight million, four hundred thirty-three thousand, five hundred four".