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10243504050336 = 2532472465930689
BaseRepresentation
bin1001010100010000000001…
…1010111001000010100000
31100021021021102001200020100
42111010000122321002200
52320312144014102321
633441444545542400
72105032402541304
oct225040032710240
940237242050210
1010243504050336
11329a277a97127
121195314944a00
13593c5c483ccb
14275b06d11d04
1512b6cc80b326
hex951006b90a0

10243504050336 has 144 divisors (see below), whose sum is σ = 29751927004800. Its totient is φ = 3341607972864.

The previous prime is 10243504050293. The next prime is 10243504050341. The reversal of 10243504050336 is 63305040534201.

10243504050336 is a `hidden beast` number, since 1 + 0 + 243 + 5 + 0 + 405 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10243504050336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333768880 + ... + 333799568.

It is an arithmetic number, because the mean of its divisors is an integer number (206610604200).

Almost surely, 210243504050336 is an apocalyptic number.

10243504050336 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 10243504050336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875963502400).

10243504050336 is an abundant number, since it is smaller than the sum of its proper divisors (19508422954464).

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

10243504050336 is a wasteful number, since it uses less digits than its factorization.

10243504050336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55411 (or 55400 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 10243504050336 its reverse (63305040534201), we get a palindrome (73548544584537).

The spelling of 10243504050336 in words is "ten trillion, two hundred forty-three billion, five hundred four million, fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 24659 30689 49318 61378 73977 92067 98636 122756 147954 184134 197272 221931 245512 276201 295908 368268 394544 443862 491024 552402 591816 736536 789088 887724 982048 1104804 1158973 1183632 1442383 1473072 1775448 2209608 2317946 2367264 2884766 2946144 3476919 3550896 4327149 4419216 4635892 5769532 6953838 7101792 8654298 8838432 9271784 10430757 11539064 12981447 13907676 17308596 18543568 20861514 23078128 25962894 27815352 34617192 37087136 41723028 46156256 51925788 55630704 69234384 83446056 103851576 111261408 138468768 166892112 207703152 333784224 415406304 756760051 1513520102 2270280153 3027040204 4540560306 6054080408 6810840459 9081120612 12108160816 13621680918 18162241224 24216321632 27243361836 35567722397 36324482448 54486723672 71135444794 72648964896 106703167191 108973447344 142270889588 213406334382 217946894688 284541779176 320109501573 426812668764 569083558352 640219003146 853625337528 1138167116704 1280438006292 1707250675056 2560876012584 3414501350112 5121752025168 10243504050336