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11034260406 = 23213478911273
BaseRepresentation
bin10100100011011000…
…10111001110110110
31001110222220111200100
422101230113032312
5140044232313111
65022530254530
7540303444261
oct122154271666
931428814610
1011034260406
114752609184
12217b427446
13106b061890
1476966bcd8
15448aaa756
hex291b173b6

11034260406 has 96 divisors (see below), whose sum is σ = 26592209280. Its totient is φ = 3285292032.

The previous prime is 11034260399. The next prime is 11034260437. The reversal of 11034260406 is 60406243011.

11034260406 is a `hidden beast` number, since 1 + 10 + 3 + 42 + 604 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11034260406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973186 + ... + 984458.

It is an arithmetic number, because the mean of its divisors is an integer number (277002180).

Almost surely, 211034260406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034260406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296104640).

11034260406 is an abundant number, since it is smaller than the sum of its proper divisors (15557948874).

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

11034260406 is a wasteful number, since it uses less digits than its factorization.

11034260406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11034260406 in words is "eleven billion, thirty-four million, two hundred sixty thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 89 94 117 141 178 234 267 282 423 534 611 801 846 1157 1222 1602 1833 2314 3471 3666 4183 5499 6942 8366 10413 10998 11273 12549 20826 22546 25098 33819 37647 54379 67638 75294 101457 108758 146549 163137 202914 293098 326274 439647 489411 529831 879294 978822 1003297 1059662 1318941 1589493 2006594 2637882 3009891 3178986 4768479 6019782 6887803 9029673 9536958 13042861 13775606 18059346 20663409 26085722 39128583 41326818 47154959 61990227 78257166 94309918 117385749 123980454 141464877 234771498 282929754 424394631 613014467 848789262 1226028934 1839043401 3678086802 5517130203 11034260406