Search a number
-
+
11336045004 = 22325922512371
BaseRepresentation
bin10101000111010111…
…00101000111001100
31002021000202202022200
422203223211013030
5141204011420004
65112510441500
7550626535614
oct124353450714
932230682280
1011336045004
1148979a1439
122244503290
1310b8735a4b
14797787a44
1546531d239
hex2a3ae51cc

11336045004 has 72 divisors (see below), whose sum is σ = 29165922240. Its totient is φ = 3711420000.

The previous prime is 11336044997. The next prime is 11336045027. The reversal of 11336045004 is 40054063311.

11336045004 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 604 + 50 + 0 + 4 = 666.

11336045004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4779939 + ... + 4782309.

Almost surely, 211336045004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11336045004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582961120).

11336045004 is an abundant number, since it is smaller than the sum of its proper divisors (17829877236).

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

11336045004 is a wasteful number, since it uses less digits than its factorization.

11336045004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 11336045004 in words is "eleven billion, three hundred thirty-six million, forty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2251 2371 4502 4742 6753 7113 9004 9484 13506 14226 20259 21339 27012 28452 40518 42678 81036 85356 132809 139889 265618 279778 398427 419667 531236 559556 796854 839334 1195281 1259001 1593708 1678668 2390562 2518002 4781124 5036004 5337121 10674242 16011363 21348484 32022726 48034089 64045452 96068178 192136356 314890139 629780278 944670417 1259560556 1889340834 2834011251 3778681668 5668022502 11336045004