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1968869376 = 2123319937
BaseRepresentation
bin111010101011010…
…1001000000000000
312002012202221001000
41311112221000000
513013012310001
6523211412000
766535053645
oct16526510000
95065687030
101968869376
11920414781
1246b454000
13254b97886
141496b3dcc
15b7cb3a86
hex755a9000

1968869376 has 208 divisors, whose sum is σ = 6146526400. Its totient is φ = 621084672.

The previous prime is 1968869369. The next prime is 1968869393. The reversal of 1968869376 is 6739688691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100780 + ... + 2101716.

Almost surely, 21968869376 is an apocalyptic number.

1968869376 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 1968869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073263200).

1968869376 is an abundant number, since it is smaller than the sum of its proper divisors (4177657024).

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

1968869376 is an equidigital number, since it uses as much as digits as its factorization.

1968869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 961 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1968869376 is about 44371.9435679800. The cubic root of 1968869376 is about 1253.3498151849.

The spelling of 1968869376 in words is "one billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".