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9641000961 = 3229311191571
BaseRepresentation
bin10001111101010011…
…00000000000000001
3220212220020121000200
420332221200000001
5124221044012321
64232400035413
7460625104344
oct107651400001
926786217020
109641000961
1140a8103799
121a50902b69
13ba85031c7
146765d245b
153b65e7d26
hex23ea60001

9641000961 has 24 divisors (see below), whose sum is σ = 14870818560. Its totient is φ = 6005512800.

The previous prime is 9641000923. The next prime is 9641000969. The reversal of 9641000961 is 1690001469.

9641000961 is a `hidden beast` number, since 9 + 641 + 0 + 0 + 0 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 9641000961 - 27 = 9641000833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9641000969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587695 + ... + 603876.

It is an arithmetic number, because the mean of its divisors is an integer number (619617440).

It is a Proth number, since it is equal to 73555 ⋅ 217 + 1 and 73555 < 217.

Almost surely, 29641000961 is an apocalyptic number.

It is an amenable number.

9641000961 is a deficient number, since it is larger than the sum of its proper divisors (5229817599).

9641000961 is a wasteful number, since it uses less digits than its factorization.

9641000961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191637 (or 1191634 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9641000961 is about 98188.5989359253. The cubic root of 9641000961 is about 2128.3385370519.

The spelling of 9641000961 in words is "nine billion, six hundred forty-one million, nine hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 29 31 87 93 261 279 899 2697 8091 1191571 3574713 10724139 34555559 36938701 103666677 110816103 311000031 332448309 1071222329 3213666987 9641000961