Search a number
-
+
115048192436 = 225310913736341
BaseRepresentation
bin110101100100101101…
…0000001100110110100
3101222221220110201112022
41223021122001212310
53341104314124221
6124504042012312
711212000333442
oct1531132014664
9358856421468
10115048192436
1144878783881
121a3694a7098
13ab06330218
1457d582bb92
152ed53bd4ab
hex1ac96819b4

115048192436 has 48 divisors (see below), whose sum is σ = 208531849680. Its totient is φ = 55511239680.

The previous prime is 115048192397. The next prime is 115048192439. The reversal of 115048192436 is 634291840511.

It can be written as a sum of positive squares in 8 ways, for example, as 18159179536 + 96889012900 = 134756^2 + 311270^2 .

It is a super-2 number, since 2×1150481924362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115048192439) 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 15 ways as a sum of consecutive naturals, for example, 3147626 + ... + 3183966.

It is an arithmetic number, because the mean of its divisors is an integer number (4344413535).

Almost surely, 2115048192436 is an apocalyptic number.

It is an amenable number.

115048192436 is a deficient number, since it is larger than the sum of its proper divisors (93483657244).

115048192436 is a wasteful number, since it uses less digits than its factorization.

115048192436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36644 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 115048192436 in words is "one hundred fifteen billion, forty-eight million, one hundred ninety-two thousand, four hundred thirty-six".

Divisors: 1 2 4 53 106 109 137 212 218 274 436 548 5777 7261 11554 14522 14933 23108 29044 29866 36341 59732 72682 145364 791449 1582898 1926073 3165796 3852146 3961169 4978717 7704292 7922338 9957434 15844676 19914868 209941957 263872001 419883914 527744002 542680153 839767828 1055488004 1085360306 2170720612 28762048109 57524096218 115048192436