Search a number
-
+
10947049344 = 2733711311327
BaseRepresentation
bin10100011000111111…
…01011011110000000
31001020220210201121000
422030133223132000
5134404421034334
65010133132000
7535164245520
oct121437533600
931226721530
1010947049344
114708362220
12215618a000
131055c781ba
1475bc49680
154410d0299
hex28c7eb780

10947049344 has 512 divisors, whose sum is σ = 41612083200. Its totient is φ = 2749593600.

The previous prime is 10947049319. The next prime is 10947049357. The reversal of 10947049344 is 44394074901.

10947049344 is a `hidden beast` number, since 1 + 0 + 94 + 70 + 493 + 4 + 4 = 666.

10947049344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×109470493444 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10947049344.

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 63 ways as a sum of consecutive naturals, for example, 8248809 + ... + 8250135.

It is an arithmetic number, because the mean of its divisors is an integer number (81273600).

Almost surely, 210947049344 is an apocalyptic number.

10947049344 is a gapful number since it is divisible by the number (14) 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 10947049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20806041600).

10947049344 is an abundant number, since it is smaller than the sum of its proper divisors (30665033856).

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

10947049344 is a wasteful number, since it uses less digits than its factorization.

10947049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10947049344 in words is "ten billion, nine hundred forty-seven million, forty-nine thousand, three hundred forty-four".