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9748982461 = 294996411051
BaseRepresentation
bin10010001010001010…
…11010101010111101
3221011102102121210111
421011011122222331
5124431214414321
64251214310021
7463405661251
oct110505325275
927142377714
109748982461
1141530568a9
121a80ab8311
13bc49ac89a
14686aa0261
153c0d275e1
hex24515aabd

9748982461 has 16 divisors (see below), whose sum is σ = 10130760000. Its totient is φ = 9370368000.

The previous prime is 9748982459. The next prime is 9748982471. The reversal of 9748982461 is 1642898479.

9748982461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 6-Lehmer number, since φ(9748982461) divides (9748982461-1)6.

It is a cyclic number.

It is not a de Polignac number, because 9748982461 - 21 = 9748982459 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9748982396 and 9748982405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748982471) 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 15 ways as a sum of consecutive naturals, for example, 9275386 + ... + 9276436.

It is an arithmetic number, because the mean of its divisors is an integer number (633172500).

Almost surely, 29748982461 is an apocalyptic number.

9748982461 is the 44157-th centered decagonal number.

It is an amenable number.

9748982461 is a deficient number, since it is larger than the sum of its proper divisors (381777539).

9748982461 is a wasteful number, since it uses less digits than its factorization.

9748982461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220.

The product of its digits is 6967296, while the sum is 58.

The square root of 9748982461 is about 98736.9356472035. The cubic root of 9748982461 is about 2136.2550203687.

The spelling of 9748982461 in words is "nine billion, seven hundred forty-eight million, nine hundred eighty-two thousand, four hundred sixty-one".

Divisors: 1 29 499 641 1051 14471 18589 30479 319859 524449 673691 9275911 15209021 19537039 336171809 9748982461