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9885661331 = 7133141127673
BaseRepresentation
bin10010011010011101…
…10011100010010011
3221111221121121221212
421031032303202103
5130221212130311
64312540010335
7466655510030
oct111516634223
927457547855
109885661331
11421321a747
121aba8309ab
13c170c6360
1469acbc387
153ccd24c8b
hex24d3b3893

9885661331 has 64 divisors (see below), whose sum is σ = 12986351616. Its totient is φ = 7315660800.

The previous prime is 9885661321. The next prime is 9885661333. The reversal of 9885661331 is 1331665889.

It is a happy number.

9885661331 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 9885661331 - 210 = 9885660307 is a prime.

It is a super-2 number, since 2×98856613312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9885661331.

It is not an unprimeable number, because it can be changed into a prime (9885661333) 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 63 ways as a sum of consecutive naturals, for example, 14688611 + ... + 14689283.

It is an arithmetic number, because the mean of its divisors is an integer number (202911744).

Almost surely, 29885661331 is an apocalyptic number.

9885661331 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9885661331 is a deficient number, since it is larger than the sum of its proper divisors (3100690285).

9885661331 is a wasteful number, since it uses less digits than its factorization.

9885661331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its digits is 933120, while the sum is 50.

The square root of 9885661331 is about 99426.6630788744. The cubic root of 9885661331 is about 2146.1920213951.

The spelling of 9885661331 in words is "nine billion, eight hundred eighty-five million, six hundred sixty-one thousand, three hundred thirty-one".

Divisors: 1 7 13 31 41 91 127 217 287 403 533 673 889 1271 1651 2821 3731 3937 4711 5207 8749 8897 11557 16523 20863 27559 27593 36449 51181 61243 67691 85471 115661 146041 161417 193151 271219 358267 358709 473837 598297 855383 1111123 1129919 1898533 2098421 2510963 2649601 3504311 5987681 7777861 11119979 14688947 18547207 24530177 34444813 45556043 77839853 108633641 241113691 318892301 760435487 1412237333 9885661331