Search a number
-
+
11752435327413 = 3113139973114089
BaseRepresentation
bin1010101100000101001110…
…1110111010000110110101
31112121112002102110200211210
42223001103232322012311
53020022441420434123
640554554431552033
72322041206013454
oct253012356720665
945545072420753
1011752435327413
1138211a83a2140
12139984a98b619
13673333038441
142c8b6c7c4b9b
15155a93d09e93
hexab053bba1b5

11752435327413 has 32 divisors (see below), whose sum is σ = 17150936123520. Its totient is φ = 7099157744640.

The previous prime is 11752435327411. The next prime is 11752435327417. The reversal of 11752435327413 is 31472353425711.

It is not a de Polignac number, because 11752435327413 - 21 = 11752435327411 is a prime.

It is a super-2 number, since 2×117524353274132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752435327411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102954073 + ... + 103068161.

It is an arithmetic number, because the mean of its divisors is an integer number (535966753860).

Almost surely, 211752435327413 is an apocalyptic number.

It is an amenable number.

11752435327413 is a deficient number, since it is larger than the sum of its proper divisors (5398500796107).

11752435327413 is a wasteful number, since it uses less digits than its factorization.

11752435327413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124389.

The product of its digits is 2116800, while the sum is 48.

The spelling of 11752435327413 in words is "eleven trillion, seven hundred fifty-two billion, four hundred thirty-five million, three hundred twenty-seven thousand, four hundred thirteen".

Divisors: 1 3 11 33 313 939 3443 9973 10329 29919 109703 114089 329109 342267 1254979 3121549 3764937 9364647 34337039 35709857 103011117 107129571 392808427 1137809597 1178425281 3413428791 12515905567 37547716701 356134403861 1068403211583 3917478442471 11752435327413