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11061456125 = 532324092
BaseRepresentation
bin10100100110101000…
…00110110011111101
31001112220002012012012
422103110012303331
5140123213044000
65025341221005
7541053553136
oct122324066375
931486065165
1011061456125
1147669a3785
122188561765
131073894315
1476d10ac8d
1544b17d735
hex293506cfd

11061456125 has 36 divisors (see below), whose sum is σ = 14466367188. Its totient is φ = 8443723200.

The previous prime is 11061456083. The next prime is 11061456127. The reversal of 11061456125 is 52165416011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 153115876 + 10908340249 = 12374^2 + 104443^2 .

It is not a de Polignac number, because 11061456125 - 218 = 11061193981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11061456091 and 11061456100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11061456127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27044921 + ... + 27045329.

It is an arithmetic number, because the mean of its divisors is an integer number (401843533).

Almost surely, 211061456125 is an apocalyptic number.

It is an amenable number.

11061456125 is a deficient number, since it is larger than the sum of its proper divisors (3404911063).

11061456125 is an frugal number, since it uses more digits than its factorization.

11061456125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 11061456125 in words is "eleven billion, sixty-one million, four hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 5 23 25 115 125 409 529 575 2045 2645 2875 9407 10225 13225 47035 51125 66125 167281 216361 235175 836405 1081805 1175875 3847463 4182025 5409025 19237315 20910125 27045125 88491649 96186575 442458245 480932875 2212291225 11061456125