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10813074912 = 25344678933
BaseRepresentation
bin10100001001000001…
…00110110111100000
31000220120201010020000
422010200212313200
5134121121344122
64544545420000
7531646422513
oct120440466740
930816633200
1010813074912
114649776252
12211933a600
13103429a6a3
14748132d7a
154344690ac
hex284826de0

10813074912 has 120 divisors (see below), whose sum is σ = 31872616776. Its totient is φ = 3596237568.

The previous prime is 10813074907. The next prime is 10813074917. The reversal of 10813074912 is 21947031801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10813074907) and next prime (10813074917).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10813074917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1205998 + ... + 1214930.

Almost surely, 210813074912 is an apocalyptic number.

10813074912 is a gapful number since it is divisible by the number (12) 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 10813074912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936308388).

10813074912 is an abundant number, since it is smaller than the sum of its proper divisors (21059541864).

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

10813074912 is an equidigital number, since it uses as much as digits as its factorization.

10813074912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10813074912 in words is "ten billion, eight hundred thirteen million, seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 467 648 864 934 1296 1401 1868 2592 2802 3736 4203 5604 7472 8406 8933 11208 12609 14944 16812 17866 22416 25218 26799 33624 35732 37827 44832 50436 53598 67248 71464 75654 80397 100872 107196 134496 142928 151308 160794 201744 214392 241191 285856 302616 321588 403488 428784 482382 605232 643176 723573 857568 964764 1210464 1286352 1447146 1929528 2572704 2894292 3859056 4171711 5788584 7718112 8343422 11577168 12515133 16686844 23154336 25030266 33373688 37545399 50060532 66747376 75090798 100121064 112636197 133494752 150181596 200242128 225272394 300363192 337908591 400484256 450544788 600726384 675817182 901089576 1201452768 1351634364 1802179152 2703268728 3604358304 5406537456 10813074912