Search a number
-
+
11039968704 = 2632973157173
BaseRepresentation
bin10100100100000100…
…01000110111000000
31001111101122111222210
422102002020313000
5140102212444304
65023252502120
7540403120452
oct122202106700
931441574883
1011039968704
114755857986
12218131a940
13106c2acb7b
1476a3162d2
15449336c89
hex292088dc0

11039968704 has 224 divisors, whose sum is σ = 31004377920. Its totient is φ = 3461971968.

The previous prime is 11039968669. The next prime is 11039968727. The reversal of 11039968704 is 40786993011.

It is a happy number.

It is a super-3 number, since 3×110399687043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63814762 + ... + 63814934.

Almost surely, 211039968704 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 11039968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502188960).

11039968704 is an abundant number, since it is smaller than the sum of its proper divisors (19964409216).

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

11039968704 is a wasteful number, since it uses less digits than its factorization.

11039968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 11039968704 in words is "eleven billion, thirty-nine million, nine hundred sixty-eight thousand, seven hundred four".