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10493724409 = 7231611091039
BaseRepresentation
bin10011100010111100…
…11000011011111001
31000002022210102200121
421301132120123321
5132442343140114
64453140533241
7521021120500
oct116136303371
930068712617
1010493724409
1144a5485513
12204a3b1221
13cb3085cac
14717963837
154163d6a24
hex2717986f9

10493724409 has 48 divisors (see below), whose sum is σ = 12937267200. Its totient is φ = 8475062400.

The previous prime is 10493724407. The next prime is 10493724427. The reversal of 10493724409 is 90442739401.

It is not a de Polignac number, because 10493724409 - 21 = 10493724407 is a prime.

It is a super-2 number, since 2×104937244092 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10493724403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10099312 + ... + 10100350.

It is an arithmetic number, because the mean of its divisors is an integer number (269526400).

Almost surely, 210493724409 is an apocalyptic number.

It is an amenable number.

10493724409 is a deficient number, since it is larger than the sum of its proper divisors (2443542791).

10493724409 is a wasteful number, since it uses less digits than its factorization.

10493724409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 10493724409 in words is "ten billion, four hundred ninety-three million, seven hundred twenty-four thousand, four hundred nine".

Divisors: 1 7 31 49 61 109 217 427 763 1039 1519 1891 2989 3379 5341 6649 7273 13237 23653 32209 46543 50911 63379 92659 113251 165571 206119 225463 325801 443653 792757 1442833 1578241 1964749 3105571 3510781 5549299 6908311 10099831 13753243 24575467 48358177 96272701 172028269 214157641 338507239 1499103487 10493724409