Search a number
-
+
9754312704 = 216349613
BaseRepresentation
bin10010001010110011…
…10000000000000000
3221011210110102111220
421011121300000000
5124434101001304
64251524435040
7463502201313
oct110531600000
927153412456
109754312704
114156067564
121a82848a80
13bc5b27a86
1468768a97a
153c152bad9
hex245670000

9754312704 has 68 divisors (see below), whose sum is σ = 26011826376. Its totient is φ = 3251372032.

The previous prime is 9754312703. The next prime is 9754312759. The reversal of 9754312704 is 4072134579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9754312703) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171802 + ... + 221414.

Almost surely, 29754312704 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 9754312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005913188).

9754312704 is an abundant number, since it is smaller than the sum of its proper divisors (16257513672).

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

9754312704 is an frugal number, since it uses more digits than its factorization.

9754312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49648 (or 49618 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 9754312704 is about 98763.9241018703. The cubic root of 9754312704 is about 2136.6442809510.

The spelling of 9754312704 in words is "nine billion, seven hundred fifty-four million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 49613 65536 98304 99226 148839 196608 198452 297678 396904 595356 793808 1190712 1587616 2381424 3175232 4762848 6350464 9525696 12700928 19051392 25401856 38102784 50803712 76205568 101607424 152411136 203214848 304822272 406429696 609644544 812859392 1219289088 1625718784 2438578176 3251437568 4877156352 9754312704