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10368506925 = 3352713915787
BaseRepresentation
bin10011010100000001…
…01101110000101101
3222202121011201121000
421222000231300231
5132213314210200
64432505030513
7514640566110
oct115200556055
928677151530
1010368506925
11444082a797
122014485439
13c931532ca
1470508a577
1540a400300
hex26a02dc2d

10368506925 has 96 divisors (see below), whose sum is σ = 21926374400. Its totient is φ = 4705490880.

The previous prime is 10368506923. The next prime is 10368506963. The reversal of 10368506925 is 52960586301.

It is not a de Polignac number, because 10368506925 - 21 = 10368506923 is a prime.

It is a super-3 number, since 3×103685069253 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10368506921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648882 + ... + 664668.

Almost surely, 210368506925 is an apocalyptic number.

10368506925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10368506925 is an abundant number, since it is smaller than the sum of its proper divisors (11557867475).

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

10368506925 is a wasteful number, since it uses less digits than its factorization.

10368506925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10368506925 in words is "ten billion, three hundred sixty-eight million, five hundred six thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 139 175 189 225 315 417 525 675 695 945 973 1251 1575 2085 2919 3475 3753 4725 4865 6255 8757 10425 14595 15787 18765 24325 26271 31275 43785 47361 72975 78935 93825 110509 131355 142083 218925 236805 331527 394675 426249 552545 656775 710415 994581 1184025 1657635 2131245 2194393 2762725 2983743 3552075 4972905 6583179 8288175 10656225 10971965 14918715 15360751 19749537 24864525 32915895 46082253 54859825 59248611 74593575 76803755 98747685 138246759 164579475 230411265 296243055 384018775 414740277 493738425 691233795 1152056325 1481215275 2073701385 3456168975 10368506925