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4700206944 = 253275721559
BaseRepresentation
bin1000110000010011…
…10111011101100000
3110010120021020210200
410120021313131200
534111223110234
62054221425200
7224322046146
oct43011673540
913116236720
104700206944
111aa2165054
12ab210b200
1359ba04054
14328343596
151c7988d99
hex118277760

4700206944 has 72 divisors (see below), whose sum is σ = 13384491120. Its totient is φ = 1564593408.

The previous prime is 4700206933. The next prime is 4700206957. The reversal of 4700206944 is 4496020074.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4700206899 and 4700206908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207237 + ... + 228795.

It is an arithmetic number, because the mean of its divisors is an integer number (185895710).

Almost surely, 24700206944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4700206944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692245560).

4700206944 is an abundant number, since it is smaller than the sum of its proper divisors (8684284176).

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

4700206944 is a wasteful number, since it uses less digits than its factorization.

4700206944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332 (or 22321 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4700206944 is about 68558.0552816370. The cubic root of 4700206944 is about 1675.0932680225.

The spelling of 4700206944 in words is "four billion, seven hundred million, two hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 757 1514 2271 3028 4542 6056 6813 9084 12112 13626 18168 21559 24224 27252 36336 43118 54504 64677 72672 86236 109008 129354 172472 194031 218016 258708 344944 388062 517416 689888 776124 1034832 1552248 2069664 3104496 6208992 16320163 32640326 48960489 65280652 97920978 130561304 146881467 195841956 261122608 293762934 391683912 522245216 587525868 783367824 1175051736 1566735648 2350103472 4700206944