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1468190076 = 2232922318919
BaseRepresentation
bin101011110000010…
…1100110101111100
310210022122210011020
41113200230311330
511001324040301
6401404224140
751245260353
oct12740546574
93708583136
101468190076
11693833a31
1234b83b050
131a5235532
14dcdc299a
1588d64436
hex5782cd7c

1468190076 has 48 divisors (see below), whose sum is σ = 3559987200. Its totient is φ = 470377152.

The previous prime is 1468190011. The next prime is 1468190093. The reversal of 1468190076 is 6700918641.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 68145 + ... + 87063.

It is an arithmetic number, because the mean of its divisors is an integer number (74166400).

Almost surely, 21468190076 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 1468190076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779993600).

1468190076 is an abundant number, since it is smaller than the sum of its proper divisors (2091797124).

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

1468190076 is a wasteful number, since it uses less digits than its factorization.

1468190076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19178 (or 19176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1468190076 is about 38316.9685126577. The cubic root of 1468190076 is about 1136.5645203466.

The spelling of 1468190076 in words is "one billion, four hundred sixty-eight million, one hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 223 348 446 669 892 1338 2676 6467 12934 18919 19401 25868 37838 38802 56757 75676 77604 113514 227028 548651 1097302 1645953 2194604 3291906 4218937 6583812 8437874 12656811 16875748 25313622 50627244 122349173 244698346 367047519 489396692 734095038 1468190076