Search a number
-
+
2218449050496 = 27337977731223
BaseRepresentation
bin100000010010000101110…
…111100001101110000000
321212002012112021101222000
4200102011313201232000
5242321340424103441
64415050314144000
7316164143540220
oct40220567415600
97762175241860
102218449050496
11785925721758
122b9b4a122000
13131277b3a573
1479532c90080
153ca90e5c2b6
hex20485de1b80

2218449050496 has 512 divisors, whose sum is σ = 7575976396800. Its totient is φ = 625984339968.

The previous prime is 2218449050483. The next prime is 2218449050497. The reversal of 2218449050496 is 6940509448122.

2218449050496 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 4 + 49 + 0 + 504 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218449050497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813939741 + ... + 1813940963.

It is an arithmetic number, because the mean of its divisors is an integer number (14796828900).

Almost surely, 22218449050496 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 2218449050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787988198400).

2218449050496 is an abundant number, since it is smaller than the sum of its proper divisors (5357527346304).

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

2218449050496 is a wasteful number, since it uses less digits than its factorization.

2218449050496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2218449050496 in words is "two trillion, two hundred eighteen billion, four hundred forty-nine million, fifty thousand, four hundred ninety-six".