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9684616141 = 1923137316141
BaseRepresentation
bin10010000010011111…
…11000001111001101
3220222221022110210201
421001033320033031
5124313230204031
64240554533501
7461664610324
oct110117701715
926887273721
109684616141
11411a7934a2
121a63437291
13bb45643c5
1467c3070bb
153ba360d61
hex2413f83cd

9684616141 has 16 divisors (see below), whose sum is σ = 10645971840. Its totient is φ = 8769055680.

The previous prime is 9684616093. The next prime is 9684616147. The reversal of 9684616141 is 1416164869.

9684616141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9684616141 - 227 = 9550398413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9684616091 and 9684616100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9684616147) 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, 591931 + ... + 608071.

It is an arithmetic number, because the mean of its divisors is an integer number (665373240).

Almost surely, 29684616141 is an apocalyptic number.

It is an amenable number.

9684616141 is a deficient number, since it is larger than the sum of its proper divisors (961355699).

9684616141 is a wasteful number, since it uses less digits than its factorization.

9684616141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17556.

The product of its digits is 248832, while the sum is 46.

The square root of 9684616141 is about 98410.4473163292. The cubic root of 9684616141 is about 2131.5431917476.

The spelling of 9684616141 in words is "nine billion, six hundred eighty-four million, six hundred sixteen thousand, one hundred forty-one".

Divisors: 1 19 23 437 1373 16141 26087 31579 306679 371243 600001 7053617 22161593 421070267 509716639 9684616141