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11511600116 = 22176112892153
BaseRepresentation
bin10101011100010010…
…10001001111110100
31002201021002212122212
422232021101033310
5142033432200431
65142141312552
7555160662242
oct125611211764
932637085585
1011511600116
114977aa8605
122293265758
131115c11703
147b2c05792
1547594972b
hex2ae2513f4

11511600116 has 48 divisors (see below), whose sum is σ = 21706891920. Its totient is φ = 5321809920.

The previous prime is 11511600101. The next prime is 11511600127. The reversal of 11511600116 is 61100611511.

It is a happy number.

11511600116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 658127716 + 10853472400 = 25654^2 + 104180^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11511600091 and 11511600100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5345696 + ... + 5347848.

It is an arithmetic number, because the mean of its divisors is an integer number (452226915).

Almost surely, 211511600116 is an apocalyptic number.

It is an amenable number.

11511600116 is a deficient number, since it is larger than the sum of its proper divisors (10195291804).

11511600116 is a wasteful number, since it uses less digits than its factorization.

11511600116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 11511600116 in words is "eleven billion, five hundred eleven million, six hundred thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 61 68 122 244 1037 1289 2074 2153 2578 4148 4306 5156 8612 21913 36601 43826 73202 78629 87652 131333 146404 157258 262666 314516 525332 1336693 2232661 2673386 2775217 4465322 5346772 5550434 8930644 11100868 47178689 94357378 169288237 188714756 338576474 677152948 2877900029 5755800058 11511600116