Search a number
-
+
11519221056 = 2637231127311
BaseRepresentation
bin10101011101001100…
…10101110101000000
31002201210110001121220
422232212111311000
5142042410033211
65143012515040
7555312522600
oct125646256500
932653401556
1011519221056
114981333302
12229591ba80
13111767c445
147b3c2ac00
15476452806
hex2ae995d40

11519221056 has 336 divisors, whose sum is σ = 37004378112. Its totient is φ = 3149798400.

The previous prime is 11519220983. The next prime is 11519221057. The reversal of 11519221056 is 65012291511.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11519221057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37039141 + ... + 37039451.

Almost surely, 211519221056 is an apocalyptic number.

11519221056 is a gapful number since it is divisible by the number (16) 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 11519221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502189056).

11519221056 is an abundant number, since it is smaller than the sum of its proper divisors (25485157056).

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

11519221056 is a wasteful number, since it uses less digits than its factorization.

11519221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 11519221056 in words is "eleven billion, five hundred nineteen million, two hundred twenty-one thousand, fifty-six".