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10303364844 = 2232286204579
BaseRepresentation
bin10011001100010000…
…01101111011101100
3222121001121011110100
421212020031323230
5132100130133334
64422220511100
7513220104363
oct114610157354
928531534410
1010303364844
114407a87563
121bb66ab490
13c827c59b6
146da5707da
15404833c99
hex26620deec

10303364844 has 18 divisors (see below), whose sum is σ = 26044616780. Its totient is φ = 3434454936.

The previous prime is 10303364833. The next prime is 10303364849. The reversal of 10303364844 is 44846330301.

It is a happy number.

10303364844 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 3 + 648 + 4 + 4 = 666.

10303364844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 286204579 = 10303364844 / (1 + 0 + 3 + 0 + 3 + 3 + 6 + 4 + 8 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 10303364799 and 10303364808.

It is not an unprimeable number, because it can be changed into a prime (10303364849) 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 5 ways as a sum of consecutive naturals, for example, 143102254 + ... + 143102325.

Almost surely, 210303364844 is an apocalyptic number.

It is an amenable number.

10303364844 is an abundant number, since it is smaller than the sum of its proper divisors (15741251936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10303364844 is a wasteful number, since it uses less digits than its factorization.

10303364844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286204589 (or 286204584 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10303364844 in words is "ten billion, three hundred three million, three hundred sixty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 286204579 572409158 858613737 1144818316 1717227474 2575841211 3434454948 5151682422 10303364844