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10426233168 = 243413618841
BaseRepresentation
bin10011011010111001…
…11011000101010000
3222220121210112010000
421231130323011100
5132323103430133
64442330210000
7516241343151
oct115534730520
928817715100
1010426233168
11447037832a
12202b883900
13ca20b5350
1470c9d5928
15410504413
hex26d73b150

10426233168 has 100 divisors (see below), whose sum is σ = 32497868788. Its totient is φ = 3208066560.

The previous prime is 10426233157. The next prime is 10426233173. The reversal of 10426233168 is 86133262401.

10426233168 is a `hidden beast` number, since 1 + 0 + 4 + 262 + 331 + 68 = 666.

10426233168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1919491344 + 8506741824 = 43812^2 + 92232^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292573 + ... + 326268.

Almost surely, 210426233168 is an apocalyptic number.

10426233168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10426233168 is an abundant number, since it is smaller than the sum of its proper divisors (22071635620).

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

10426233168 is a wasteful number, since it uses less digits than its factorization.

10426233168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618874 (or 618859 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10426233168 its reverse (86133262401), we get a palindrome (96559495569).

The spelling of 10426233168 in words is "ten billion, four hundred twenty-six million, two hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 618841 1237682 1856523 2475364 3713046 4950728 5569569 7426092 8044933 9901456 11139138 14852184 16089866 16708707 22278276 24134799 29704368 32179732 33417414 44556552 48269598 50126121 64359464 66834828 72404397 89113104 96539196 100252242 128718928 133669656 144808794 193078392 200504484 217213191 267339312 289617588 386156784 401008968 434426382 579235176 651639573 802017936 868852764 1158470352 1303279146 1737705528 2606558292 3475411056 5213116584 10426233168