Search a number
-
+
68825964312 = 233271759173787
BaseRepresentation
bin100000000011001011…
…0001101111100011000
320120122121012020200100
41000012112031330120
52111423421324222
651341311135400
74654400021040
oct1000626157430
9216577166610
1068825964312
112720950a746
1211409814560
13664b144291
14348cb24720
151bcc5034ac
hex100658df18

68825964312 has 384 divisors, whose sum is σ = 231006297600. Its totient is φ = 18065977344.

The previous prime is 68825964257. The next prime is 68825964323. The reversal of 68825964312 is 21346952886.

68825964312 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 596 + 43 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87453183 + ... + 87453969.

It is an arithmetic number, because the mean of its divisors is an integer number (601578900).

Almost surely, 268825964312 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 68825964312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115503148800).

68825964312 is an abundant number, since it is smaller than the sum of its proper divisors (162180333288).

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

68825964312 is a wasteful number, since it uses less digits than its factorization.

68825964312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 68825964312 in words is "sixty-eight billion, eight hundred twenty-five million, nine hundred sixty-four thousand, three hundred twelve".