Search a number
-
+
11433473648 = 2429437572
BaseRepresentation
bin10101010010111110…
…01111011001110000
31002111211002122021222
422221133033121300
5141403432124043
65130311004212
7553221631262
oct125137173160
932454078258
1011433473648
114937996a83
122271069668
13110298902c
147a66a9b32
1546db65d68
hex2a97cf670

11433473648 has 60 divisors (see below), whose sum is σ = 23480182440. Its totient is φ = 5384123136.

The previous prime is 11433473633. The next prime is 11433473699. The reversal of 11433473648 is 84637433411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11433473599 and 11433473608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15103286 + ... + 15104042.

It is an arithmetic number, because the mean of its divisors is an integer number (391336374).

Almost surely, 211433473648 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 11433473648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740091220).

11433473648 is an abundant number, since it is smaller than the sum of its proper divisors (12046708792).

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

11433473648 is an frugal number, since it uses more digits than its factorization.

11433473648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 831 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The spelling of 11433473648 in words is "eleven billion, four hundred thirty-three million, four hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 344 464 688 757 1247 1514 2494 3028 4988 6056 9976 12112 19952 21953 32551 43906 65102 87812 130204 175624 260408 351248 520816 573049 943979 1146098 1887958 2292196 3775916 4584392 7551832 9168784 15103664 16618421 24641107 33236842 49282214 66473684 98564428 132947368 197128856 265894736 394257712 714592103 1429184206 2858368412 5716736824 11433473648