Search a number
-
+
11581433838 = 2331317970457
BaseRepresentation
bin10101100100100111…
…01010011111101110
31002220010111210112000
422302103222133232
5142204321340323
65153114153130
7556666364142
oct126223523756
932803453460
1011581433838
114a03465727
1222b27227a6
131127522640
147bc1c3222
1547bb40e43
hex2b24ea7ee

11581433838 has 64 divisors (see below), whose sum is σ = 29346649920. Its totient is φ = 3353895936.

The previous prime is 11581433833. The next prime is 11581433849. The reversal of 11581433838 is 83833418511.

It is a happy number.

11581433838 is a `hidden beast` number, since 1 + 1 + 581 + 4 + 3 + 38 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11581433793 and 11581433802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11581433833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473295 + ... + 497162.

It is an arithmetic number, because the mean of its divisors is an integer number (458541405).

Almost surely, 211581433838 is an apocalyptic number.

11581433838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11581433838 is an abundant number, since it is smaller than the sum of its proper divisors (17765216082).

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

11581433838 is a wasteful number, since it uses less digits than its factorization.

11581433838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970498 (or 970492 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 11581433838 in words is "eleven billion, five hundred eighty-one million, four hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934 970457 1940914 2911371 5822742 8734113 12615941 16497769 17468226 25231882 26202339 32995538 37847823 49493307 52404678 75695646 98986614 113543469 148479921 214470997 227086938 296959842 340630407 428941994 445439763 643412991 681260814 890879526 1286825982 1930238973 3860477946 5790716919 11581433838