Search a number
-
+
11951449344 = 283317231193
BaseRepresentation
bin10110010000101110…
…01010010100000000
31010211220202112101000
423020113022110000
5143434032334334
65253533012000
7602111433432
oct131027122400
933756675330
1011951449344
11508331086a
122396624000
131186096023
148153c0652
1549e380299
hex2c85ca500

11951449344 has 432 divisors, whose sum is σ = 38955696640. Its totient is φ = 3609722880.

The previous prime is 11951449343. The next prime is 11951449357. The reversal of 11951449344 is 44394415911.

It is a happy number.

11951449344 is a `hidden beast` number, since 1 + 1 + 9 + 514 + 4 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 11951449344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11951449343) 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, 61924512 + ... + 61924704.

Almost surely, 211951449344 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 11951449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477848320).

11951449344 is an abundant number, since it is smaller than the sum of its proper divisors (27004247296).

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

11951449344 is a wasteful number, since it uses less digits than its factorization.

11951449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11951449344 in words is "eleven billion, nine hundred fifty-one million, four hundred forty-nine thousand, three hundred forty-four".