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10947094704 = 243373135683
BaseRepresentation
bin10100011000111111…
…10110100010110000
31001020220220000211000
422030133312202300
5134404424012304
65010134122000
7535164525000
oct121437664260
931226800730
1010947094704
114708393307
1221561b0300
131055c92a40
1475bc5c000
154410dd939
hex28c7f68b0

10947094704 has 320 divisors, whose sum is σ = 39469696000. Its totient is φ = 2886637824.

The previous prime is 10947094661. The next prime is 10947094727. The reversal of 10947094704 is 40749074901.

10947094704 is a `hidden beast` number, since 109 + 4 + 70 + 9 + 470 + 4 = 666.

10947094704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10947094704.

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, 1923447 + ... + 1929129.

It is an arithmetic number, because the mean of its divisors is an integer number (123342800).

Almost surely, 210947094704 is an apocalyptic number.

10947094704 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 10947094704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19734848000).

10947094704 is an abundant number, since it is smaller than the sum of its proper divisors (28522601296).

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

10947094704 is a wasteful number, since it uses less digits than its factorization.

10947094704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10947094704 in words is "ten billion, nine hundred forty-seven million, ninety-four thousand, seven hundred four".