Search a number
-
+
12335565204 = 2232418357429
BaseRepresentation
bin10110111110100000…
…11100100110010100
31011211200112122021100
423133100130212110
5200230401041304
65400013550100
7614454400644
oct133720344624
934750478240
1012335565204
115260117796
1224831a5330
131217835711
1485040c524
154c2e57439
hex2df41c994

12335565204 has 36 divisors (see below), whose sum is σ = 31942097460. Its totient is φ = 4011565440.

The previous prime is 12335565199. The next prime is 12335565223. The reversal of 12335565204 is 40256553321.

12335565204 is a `hidden beast` number, since 123 + 3 + 5 + 5 + 6 + 520 + 4 = 666.

12335565204 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 2 ways, for example, as 7216162704 + 5119402500 = 84948^2 + 71550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4177239 + ... + 4180190.

It is an arithmetic number, because the mean of its divisors is an integer number (887280485).

Almost surely, 212335565204 is an apocalyptic number.

It is an amenable number.

12335565204 is an abundant number, since it is smaller than the sum of its proper divisors (19606532256).

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

12335565204 is a wasteful number, since it uses less digits than its factorization.

12335565204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357480 (or 8357475 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 12335565204 in words is "twelve billion, three hundred thirty-five million, five hundred sixty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8357429 16714858 25072287 33429716 50144574 75216861 100289148 150433722 300867444 342654589 685309178 1027963767 1370618356 2055927534 3083891301 4111855068 6167782602 12335565204