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10381912650 = 2325231373709
BaseRepresentation
bin10011010101100111…
…10110101001001010
3222210112101210210100
421222303312221022
5132230232201100
64434104230230
7515162541624
oct115263665112
928715353710
1010381912650
1144483566aa
122018a6b376
13c95b680a5
14706b79c14
1540b69c400
hex26acf6a4a

10381912650 has 72 divisors (see below), whose sum is σ = 27982232460. Its totient is φ = 2759627520.

The previous prime is 10381912649. The next prime is 10381912663. The reversal of 10381912650 is 5621918301.

10381912650 is a `hidden beast` number, since 10 + 381 + 9 + 1 + 265 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10323369 + 10371589281 = 3213^2 + 101841^2 .

It is a super-2 number, since 2×103819126502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103996 + ... + 177704.

Almost surely, 210381912650 is an apocalyptic number.

10381912650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10381912650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991116230).

10381912650 is an abundant number, since it is smaller than the sum of its proper divisors (17600319810).

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

10381912650 is a wasteful number, since it uses less digits than its factorization.

10381912650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74040 (or 74032 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10381912650 in words is "ten billion, three hundred eighty-one million, nine hundred twelve thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 313 450 626 939 1565 1878 2817 3130 4695 5634 7825 9390 14085 15650 23475 28170 46950 70425 73709 140850 147418 221127 368545 442254 663381 737090 1105635 1326762 1842725 2211270 3316905 3685450 5528175 6633810 11056350 16584525 23070917 33169050 46141834 69212751 115354585 138425502 207638253 230709170 346063755 415276506 576772925 692127510 1038191265 1153545850 1730318775 2076382530 3460637550 5190956325 10381912650