Search a number
-
+
10968354816 = 2123231972
BaseRepresentation
bin10100011011100001…
…11101000000000000
31001022101220011012120
422031300331000000
5134430344323231
65012213524240
7535543322556
oct121560750000
931271804176
1010968354816
114719394351
122161343680
13105a4c78a3
147609d3bd6
15442ddcd96
hex28dc3d000

10968354816 has 156 divisors (see below), whose sum is σ = 30672608352. Its totient is φ = 3479404544.

The previous prime is 10968354811. The next prime is 10968354877. The reversal of 10968354816 is 61845386901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968354811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55676830 + ... + 55677026.

Almost surely, 210968354816 is an apocalyptic number.

10968354816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10968354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336304176).

10968354816 is an abundant number, since it is smaller than the sum of its proper divisors (19704253536).

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

10968354816 is an frugal number, since it uses more digits than its factorization.

10968354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10968354816 in words is "ten billion, nine hundred sixty-eight million, three hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 197 256 276 368 384 394 512 552 591 736 768 788 1024 1104 1182 1472 1536 1576 2048 2208 2364 2944 3072 3152 4096 4416 4531 4728 5888 6144 6304 8832 9062 9456 11776 12288 12608 13593 17664 18124 18912 23552 25216 27186 35328 36248 37824 38809 47104 50432 54372 70656 72496 75648 77618 94208 100864 108744 116427 141312 144992 151296 155236 201728 217488 232854 282624 289984 302592 310472 403456 434976 465708 579968 605184 620944 806912 869952 892607 931416 1159936 1210368 1241888 1739904 1785214 1862832 2319872 2420736 2483776 2677821 3479808 3570428 3725664 4639744 4967552 5355642 6959616 7140856 7451328 9279488 9935104 10711284 13919232 14281712 14902656 18558976 19870208 21422568 27838464 28563424 29805312 39740416 42845136 55676928 57126848 59610624 79480832 85690272 114253696 119221248 158961664 171380544 228507392 238442496 342761088 457014784 476884992 685522176 914029568 1371044352 1828059136 2742088704 3656118272 5484177408 10968354816