Search a number
-
+
11204192560680 = 2333576130779139
BaseRepresentation
bin1010001100001010110111…
…1010101110011000101000
31110200002222102222111212000
42203002231322232120220
52432032141243420210
635455045054451000
72234322223255320
oct243025572563050
943602872874760
1011204192560680
11362a742675a99
12130b545503a60
13633721215a62
142aa4003b4280
151466a7c3dac0
hexa30adeae628

11204192560680 has 512 divisors, whose sum is σ = 43524214272000. Its totient is φ = 2510738519040.

The previous prime is 11204192560667. The next prime is 11204192560721. The reversal of 11204192560680 is 8606529140211.

11204192560680 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 1 + 9 + 2 + 560 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141536551 + ... + 141615689.

It is an arithmetic number, because the mean of its divisors is an integer number (85008231000).

Almost surely, 211204192560680 is an apocalyptic number.

11204192560680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11204192560680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762107136000).

11204192560680 is an abundant number, since it is smaller than the sum of its proper divisors (32320021711320).

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

11204192560680 is a wasteful number, since it uses less digits than its factorization.

11204192560680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79534 (or 79524 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11204192560680 in words is "eleven trillion, two hundred four billion, one hundred ninety-two million, five hundred sixty thousand, six hundred eighty".