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1468310976 = 2636112861
BaseRepresentation
bin101011110000100…
…1010010111000000
310210022212221000000
41113201022113000
511001341422401
6401411000000
751246303006
oct12741122700
93708787000
101468310976
11693906850
1234b899000
131a5278582
14dd014a76
1588d8a186
hex5784a5c0

1468310976 has 196 divisors, whose sum is σ = 4767324984. Its totient is φ = 444787200.

The previous prime is 1468310951. The next prime is 1468310989. The reversal of 1468310976 is 6790138641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 511786 + ... + 514646.

Almost surely, 21468310976 is an apocalyptic number.

1468310976 is a gapful number since it is divisible by the number (16) 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 1468310976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383662492).

1468310976 is an abundant number, since it is smaller than the sum of its proper divisors (3299014008).

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

1468310976 is an equidigital number, since it uses as much as digits as its factorization.

1468310976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1468310976 is about 38318.5461102062. The cubic root of 1468310976 is about 1136.5957167794.

The spelling of 1468310976 in words is "one billion, four hundred sixty-eight million, three hundred ten thousand, nine hundred seventy-six".