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9323728704 = 263242138449
BaseRepresentation
bin10001010111011110…
…01100111101000000
3220001210020111022100
420223233030331000
5123043333304304
64141103510400
7450023246343
oct105357147500
926053214270
109323728704
113a55002414
1219825b8400
13b57868744
1464640445a
15398826439
hex22bbccf40

9323728704 has 84 divisors (see below), whose sum is σ = 26788960900. Its totient is φ = 3100446720.

The previous prime is 9323728691. The next prime is 9323728721. The reversal of 9323728704 is 4078273239.

9323728704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 9262137600 = 7848^2 + 96240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9323728704.

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 11 ways as a sum of consecutive naturals, for example, 223272 + ... + 261720.

Almost surely, 29323728704 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 9323728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394480450).

9323728704 is an abundant number, since it is smaller than the sum of its proper divisors (17465232196).

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

9323728704 is a wasteful number, since it uses less digits than its factorization.

9323728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38888 (or 38875 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 9323728704 is about 96559.4568336007. The cubic root of 9323728704 is about 2104.7307335702.

The spelling of 9323728704 in words is "nine billion, three hundred twenty-three million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 421 576 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 26944 30312 38449 40416 60624 76898 80832 115347 121248 153796 230694 242496 307592 346041 461388 615184 692082 922776 1230368 1384164 1845552 2460736 2768328 3691104 5536656 7382208 11073312 16187029 22146624 32374058 48561087 64748116 97122174 129496232 145683261 194244348 258992464 291366522 388488696 517984928 582733044 776977392 1035969856 1165466088 1553954784 2330932176 3107909568 4661864352 9323728704