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10953628047 = 328531426811
BaseRepresentation
bin10100011001110001…
…10001100110001111
31001021101011221212200
422030320301212033
5134413112044142
65010530132543
7535304205435
oct121470614617
931241157780
1010953628047
11471104596a
122158421153
13105743c71b
1475ca7cd55
1544197e64c
hex28ce3198f

10953628047 has 12 divisors (see below), whose sum is σ = 15840466824. Its totient is φ = 7293852720.

The previous prime is 10953628039. The next prime is 10953628069. The reversal of 10953628047 is 74082635901.

10953628047 is a `hidden beast` number, since 10 + 9 + 5 + 3 + 628 + 0 + 4 + 7 = 666.

10953628047 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 10953628047 - 23 = 10953628039 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10953627993 and 10953628011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10953621047) 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 11 ways as a sum of consecutive naturals, for example, 705729 + ... + 721082.

It is an arithmetic number, because the mean of its divisors is an integer number (1320038902).

It is a 1-persistent number, because it is pandigital, but 2⋅10953628047 = 21907256094 is not.

Almost surely, 210953628047 is an apocalyptic number.

10953628047 is a deficient number, since it is larger than the sum of its proper divisors (4886838777).

10953628047 is a wasteful number, since it uses less digits than its factorization.

10953628047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427670 (or 1427667 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10953628047 in words is "ten billion, nine hundred fifty-three million, six hundred twenty-eight thousand, forty-seven".

Divisors: 1 3 9 853 2559 7677 1426811 4280433 12841299 1217069783 3651209349 10953628047