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9680295141 = 3211595213181
BaseRepresentation
bin10010000001111110…
…11001010011100101
3220222122011221111200
421000333121103211
5124311123421031
64240322153113
7461613102546
oct110077312345
926878157450
109680295141
114118302020
121a61ab2799
13bb36b06ba
1467b9004cd
153b9caa8e6
hex240fd94e5

9680295141 has 48 divisors (see below), whose sum is σ = 15546997440. Its totient is φ = 5754528000.

The previous prime is 9680295137. The next prime is 9680295179. The reversal of 9680295141 is 1415920869.

9680295141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9680295141 - 22 = 9680295137 is a prime.

It is a super-2 number, since 2×96802951412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680295241) 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 47 ways as a sum of consecutive naturals, for example, 3041571 + ... + 3044751.

It is an arithmetic number, because the mean of its divisors is an integer number (323895780).

Almost surely, 29680295141 is an apocalyptic number.

It is an amenable number.

9680295141 is a deficient number, since it is larger than the sum of its proper divisors (5866702299).

9680295141 is a wasteful number, since it uses less digits than its factorization.

9680295141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9680295141 is about 98388.4908970556. The cubic root of 9680295141 is about 2131.2261332931.

The spelling of 9680295141 in words is "nine billion, six hundred eighty million, two hundred ninety-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 59 99 177 521 531 649 1563 1947 3181 4689 5731 5841 9543 17193 28629 30739 34991 51579 92217 104973 187679 276651 314919 338129 563037 1014387 1657301 1689111 2064469 3043161 4971903 6193407 14915709 18230311 18580221 54690933 97780759 164072799 293342277 880026831 1075588349 3226765047 9680295141