Search a number
-
+
9668242944 = 293625903
BaseRepresentation
bin10010000000100010…
…11010111000000000
3220221210111122000000
421000101122320000
5124300032233234
64235212000000
7461405465133
oct110021327000
926853448000
109668242944
114111520028
121a59a60000
13bb1050a19
1467a08421a
153b8bc9899
hex24045ae00

9668242944 has 140 divisors (see below), whose sum is σ = 28964272656. Its totient is φ = 3222623232.

The previous prime is 9668242849. The next prime is 9668242973. The reversal of 9668242944 is 4492428669.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 360297 + ... + 386199.

Almost surely, 29668242944 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 9668242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482136328).

9668242944 is an abundant number, since it is smaller than the sum of its proper divisors (19296029712).

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

9668242944 is an frugal number, since it uses more digits than its factorization.

9668242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939 (or 25908 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 9668242944 is about 98327.2238192455. The cubic root of 9668242944 is about 2130.3412902833.

The spelling of 9668242944 in words is "nine billion, six hundred sixty-eight million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 25903 31104 41472 46656 51806 62208 77709 93312 103612 124416 155418 186624 207224 233127 310836 373248 414448 466254 621672 699381 828896 932508 1243344 1398762 1657792 1865016 2098143 2486688 2797524 3315584 3730032 4196286 4973376 5595048 6294429 6631168 7460064 8392572 9946752 11190096 12588858 13262336 14920128 16785144 18883287 19893504 22380192 25177716 29840256 33570288 37766574 39787008 44760384 50355432 59680512 67140576 75533148 89520768 100710864 119361024 134281152 151066296 179041536 201421728 268562304 302132592 358083072 402843456 537124608 604265184 805686912 1074249216 1208530368 1611373824 2417060736 3222747648 4834121472 9668242944