Search a number
-
+
10944545472 = 263376591373
BaseRepresentation
bin10100011000101100…
…01000001011000000
31001020202002111221000
422030112020023000
5134403300423342
65010003332000
7535134046560
oct121426101300
931222074830
1010944545472
114706a02003
122155381000
1310555ac613
1475b796da0
15440c8844c
hex28c5882c0

10944545472 has 224 divisors, whose sum is σ = 36853977600. Its totient is φ = 3119993856.

The previous prime is 10944545431. The next prime is 10944545477. The reversal of 10944545472 is 27454544901.

10944545472 is a `hidden beast` number, since 1 + 0 + 94 + 45 + 454 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (10944545477) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7970578 + ... + 7971950.

Almost surely, 210944545472 is an apocalyptic number.

10944545472 is a gapful number since it is divisible by the number (12) 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 10944545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426988800).

10944545472 is an abundant number, since it is smaller than the sum of its proper divisors (25909432128).

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

10944545472 is a wasteful number, since it uses less digits than its factorization.

10944545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10944545472 in words is "ten billion, nine hundred forty-four million, five hundred forty-five thousand, four hundred seventy-two".