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11195315172 = 22321099328289
BaseRepresentation
bin10100110110100101…
…01111001111100100
31001220012221221021200
422123102233033210
5140412000041142
65050522242500
7544300415556
oct123322571744
931805857250
1011195315172
114825510a98
122205356430
131095531462
14782bd34d6
15457cc064c
hex29b4af3e4

11195315172 has 36 divisors (see below), whose sum is σ = 28302843660. Its totient is φ = 3731300352.

The previous prime is 11195315171. The next prime is 11195315189. The reversal of 11195315172 is 27151359111.

11195315172 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 531 + 51 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6615544896 + 4579770276 = 81336^2 + 67674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11195315171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381604 + ... + 409892.

Almost surely, 211195315172 is an apocalyptic number.

11195315172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11195315172 is an abundant number, since it is smaller than the sum of its proper divisors (17107528488).

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

11195315172 is a wasteful number, since it uses less digits than its factorization.

11195315172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39292 (or 39287 counting only the distinct ones).

The product of its digits is 9450, while the sum is 36.

The spelling of 11195315172 in words is "eleven billion, one hundred ninety-five million, three hundred fifteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 10993 21986 28289 32979 43972 56578 65958 84867 98937 113156 131916 169734 197874 254601 339468 395748 509202 1018404 310980977 621961954 932942931 1243923908 1865885862 2798828793 3731771724 5597657586 11195315172