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11324433006 = 23217293126307
BaseRepresentation
bin10101000101111110…
…10010001001101110
31002020012220210122200
422202333102021232
5141143023324011
65111413522330
7550426043445
oct124277221156
932205823580
1011324433006
114891390147
1222406433a6
1310b61cb543
14796003d5c
154642c7856
hex2a2fd226e

11324433006 has 48 divisors (see below), whose sum is σ = 26068455504. Its totient is φ = 3540609792.

The previous prime is 11324432971. The next prime is 11324433059. The reversal of 11324433006 is 60033442311.

11324433006 is a `hidden beast` number, since 1 + 1 + 324 + 4 + 330 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26505 + ... + 152811.

It is an arithmetic number, because the mean of its divisors is an integer number (543092823).

Almost surely, 211324433006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324433006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034227752).

11324433006 is an abundant number, since it is smaller than the sum of its proper divisors (14744022498).

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

11324433006 is a wasteful number, since it uses less digits than its factorization.

11324433006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126625 (or 126622 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11324433006 its reverse (60033442311), we get a palindrome (71357875317).

The spelling of 11324433006 in words is "eleven billion, three hundred twenty-four million, four hundred thirty-three thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 293 306 586 879 1758 2637 4981 5274 9962 14943 29886 44829 89658 126307 252614 378921 757842 1136763 2147219 2273526 4294438 6441657 12883314 19324971 37007951 38649942 74015902 111023853 222047706 333071559 629135167 666143118 1258270334 1887405501 3774811002 5662216503 11324433006