Search a number
-
+
1968199008 = 25325038191
BaseRepresentation
bin111010101010000…
…0101010101100000
312002011111212110120
41311110011111200
513012324332013
6523145200240
766526262346
oct16524052540
95064455416
101968199008
1191aaa7056
1246b190080
132549c16c9
1414957b996
15b7bd0123
hex75505560

1968199008 has 48 divisors (see below), whose sum is σ = 5169217536. Its totient is φ = 655724160.

The previous prime is 1968199007. The next prime is 1968199031. The reversal of 1968199008 is 8009918691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968199001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 236193 + ... + 244383.

It is an arithmetic number, because the mean of its divisors is an integer number (107692032).

Almost surely, 21968199008 is an apocalyptic number.

It is an amenable number.

1968199008 is an abundant number, since it is smaller than the sum of its proper divisors (3201018528).

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

1968199008 is a wasteful number, since it uses less digits than its factorization.

1968199008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 51.

The square root of 1968199008 is about 44364.3889623198. The cubic root of 1968199008 is about 1253.2075506284.

The spelling of 1968199008 in words is "one billion, nine hundred sixty-eight million, one hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2503 5006 7509 8191 10012 15018 16382 20024 24573 30036 32764 40048 49146 60072 65528 80096 98292 120144 131056 196584 240288 262112 393168 786336 20502073 41004146 61506219 82008292 123012438 164016584 246024876 328033168 492049752 656066336 984099504 1968199008