Search a number
-
+
9490728704 = 28137461587
BaseRepresentation
bin10001101011011000…
…10000011100000000
3220111102110222020112
420311230100130000
5123414111304304
64205431130452
7454121601662
oct106554203400
926442428215
109490728704
1140302a5a46
121a0a513a28
13b8333a402
14660676532
153a8312b6e
hex235b10700

9490728704 has 72 divisors (see below), whose sum is σ = 19156637808. Its totient is φ = 4692500480.

The previous prime is 9490728679. The next prime is 9490728713. The reversal of 9490728704 is 4078270949.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16167899 + ... + 16168485.

It is an arithmetic number, because the mean of its divisors is an integer number (266064414).

Almost surely, 29490728704 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 9490728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578318904).

9490728704 is an abundant number, since it is smaller than the sum of its proper divisors (9665909104).

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

9490728704 is a wasteful number, since it uses less digits than its factorization.

9490728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 9490728704 is about 97420.3710935244. The cubic root of 9490728704 is about 2117.2225928894. Note that the first 3 decimals are identical.

The spelling of 9490728704 in words is "nine billion, four hundred ninety million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 461 548 587 922 1096 1174 1844 2192 2348 3688 4384 4696 7376 8768 9392 14752 17536 18784 29504 35072 37568 59008 63157 75136 80419 118016 126314 150272 160838 252628 270607 321676 505256 541214 643352 1010512 1082428 1286704 2021024 2164856 2573408 4042048 4329712 5146816 8084096 8659424 10293632 16168192 17318848 20587264 34637696 37073159 69275392 74146318 148292636 296585272 593170544 1186341088 2372682176 4745364352 9490728704