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10247943740 = 22517193734253
BaseRepresentation
bin10011000101101001…
…10011011000111100
3222110012022110222212
421202310303120330
5131441433144430
64412520555552
7511645040666
oct114264633074
928405273885
1010247943740
1143897738a1
121ba0022bb8
13c7418cc48
146d3065536
153eea37b95
hex262d3363c

10247943740 has 96 divisors (see below), whose sum is σ = 24055859520. Its totient is φ = 3644338176.

The previous prime is 10247943709. The next prime is 10247943749. The reversal of 10247943740 is 4734974201.

10247943740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247943749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2407454 + ... + 2411706.

It is an arithmetic number, because the mean of its divisors is an integer number (250581870).

Almost surely, 210247943740 is an apocalyptic number.

10247943740 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 10247943740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12027929760).

10247943740 is an abundant number, since it is smaller than the sum of its proper divisors (13807915780).

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

10247943740 is a wasteful number, since it uses less digits than its factorization.

10247943740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 10247943740 in words is "ten billion, two hundred forty-seven million, nine hundred forty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 373 380 646 746 1292 1492 1615 1865 3230 3730 4253 6341 6460 7087 7460 8506 12682 14174 17012 21265 25364 28348 31705 35435 42530 63410 70870 72301 80807 85060 120479 126820 141740 144602 161614 240958 289204 323228 361505 404035 481916 602395 723010 808070 1204790 1373719 1446020 1586369 1616140 2409580 2747438 3172738 5494876 6345476 6868595 7931845 13737190 15863690 26968273 27474380 30141011 31727380 53936546 60282022 107873092 120564044 134841365 150705055 269682730 301410110 512397187 539365460 602820220 1024794374 2049588748 2561985935 5123971870 10247943740