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10245404540 = 2257277349757
BaseRepresentation
bin10011000101010110…
…00111011101111100
3222110000112110212102
421202223013131330
5131440310421130
64412350324232
7511614334040
oct114253073574
928400473772
1010245404540
11438829a088
121b9b1b9678
13c737b1267
146d29a4020
153ee6d5645
hex262ac777c

10245404540 has 96 divisors (see below), whose sum is σ = 24781142400. Its totient is φ = 3485389824.

The previous prime is 10245404537. The next prime is 10245404567. The reversal of 10245404540 is 4540454201.

It is a super-2 number, since 2×102454045402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13533842 + ... + 13534598.

It is an arithmetic number, because the mean of its divisors is an integer number (258136900).

Almost surely, 210245404540 is an apocalyptic number.

10245404540 is a gapful number since it is divisible by the number (10) 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 10245404540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390571200).

10245404540 is an abundant number, since it is smaller than the sum of its proper divisors (14535737860).

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

10245404540 is a wasteful number, since it uses less digits than its factorization.

10245404540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 10245404540 its reverse (4540454201), we get a palindrome (14785858741).

The spelling of 10245404540 in words is "ten billion, two hundred forty-five million, four hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 349 554 698 757 1108 1385 1396 1514 1745 1939 2443 2770 3028 3490 3785 3878 4886 5299 5540 6980 7570 7756 9695 9772 10598 12215 15140 19390 21196 24430 26495 38780 48860 52990 96673 105980 193346 209689 264193 386692 419378 483365 528386 676711 838756 966730 1048445 1056772 1320965 1353422 1467823 1849351 1933460 2096890 2641930 2706844 2935646 3383555 3698702 4193780 5283860 5871292 6767110 7339115 7397404 9246755 13534220 14678230 18493510 29356460 36987020 73181461 146362922 292725844 365907305 512270227 731814610 1024540454 1463629220 2049080908 2561351135 5122702270 10245404540