Search a number
-
+
11735004381 = 3536110911109
BaseRepresentation
bin10101110110111010…
…11111010011011101
31010021211110222200220
422323131133103131
5143013130120011
65220241511553
7563542614522
oct127335372335
933254428626
1011735004381
114a82116531
1223360425b9
1311502a1799
147d475b149
1548a378506
hex2bb75f4dd

11735004381 has 32 divisors (see below), whose sum is σ = 16232711040. Its totient is φ = 7536172800.

The previous prime is 11735004377. The next prime is 11735004389. The reversal of 11735004381 is 18340053711.

It is not a de Polignac number, because 11735004381 - 22 = 11735004377 is a prime.

It is a super-2 number, since 2×117350043812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11735004389) 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, 10581055 + ... + 10582163.

It is an arithmetic number, because the mean of its divisors is an integer number (507272220).

Almost surely, 211735004381 is an apocalyptic number.

It is an amenable number.

11735004381 is a deficient number, since it is larger than the sum of its proper divisors (4497706659).

11735004381 is a wasteful number, since it uses less digits than its factorization.

11735004381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11735004381 in words is "eleven billion, seven hundred thirty-five million, four thousand, three hundred eighty-one".

Divisors: 1 3 53 61 159 183 1091 1109 3233 3273 3327 9699 57823 58777 66551 67649 173469 176331 199653 202947 1209919 3527203 3585397 3629757 10581609 10756191 64125707 73805059 192377121 221415177 3911668127 11735004381