Search a number
-
+
2213934363648 = 210347411117
BaseRepresentation
bin100000001101111000110…
…001010111010000000000
321211122112220002112220000
4200031320301113100000
5242233114144114043
64413022320520000
7315644233410000
oct40157061272000
97748486075800
102213934363648
11783a1925a6a7
122b90aa180000
13130a086c0b27
1479225440000
153c8c991c2d3
hex20378c57400

2213934363648 has 550 divisors, whose sum is σ = 7713349168866. Its totient is φ = 632495775744.

The previous prime is 2213934363631. The next prime is 2213934363649. The reversal of 2213934363648 is 8463634393122.

2213934363648 is a `hidden beast` number, since 2 + 2 + 139 + 3 + 436 + 36 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1472902631424 + 741031732224 = 1213632^2 + 860832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213934363594 and 2213934363603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213934363649) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 199142986 + ... + 199154102.

Almost surely, 22213934363648 is an apocalyptic number.

2213934363648 is a gapful number since it is divisible by the number (28) 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 2213934363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856674584433).

2213934363648 is an abundant number, since it is smaller than the sum of its proper divisors (5499414805218).

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

2213934363648 is an frugal number, since it uses more digits than its factorization.

2213934363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11129 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 2213934363648 in words is "two trillion, two hundred thirteen billion, nine hundred thirty-four million, three hundred sixty-three thousand, six hundred forty-eight".