Search a number
-
+
11034850104 = 2333377119447
BaseRepresentation
bin10100100011011101…
…00111001100111000
31001111001000110121000
422101232213030320
5140044410200404
65022551045000
7540311451435
oct122156471470
931431013530
1011034850104
114752981233
12217b670760
13106b20a105
14769782b8c
15448b75339
hex291ba7338

11034850104 has 128 divisors (see below), whose sum is σ = 31925836800. Its totient is φ = 3528282240.

The previous prime is 11034850091. The next prime is 11034850111. The reversal of 11034850104 is 40105843011.

It is a happy number.

11034850104 is a `hidden beast` number, since 110 + 3 + 48 + 501 + 0 + 4 = 666.

11034850104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557709 + ... + 577155.

It is an arithmetic number, because the mean of its divisors is an integer number (249420600).

Almost surely, 211034850104 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 11034850104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962918400).

11034850104 is an abundant number, since it is smaller than the sum of its proper divisors (20890986696).

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

11034850104 is a wasteful number, since it uses less digits than its factorization.

11034850104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19570 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11034850104 in words is "eleven billion, thirty-four million, eight hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 71 72 74 108 111 142 148 213 216 222 284 296 333 426 444 568 639 666 852 888 999 1278 1332 1704 1917 1998 2556 2627 2664 3834 3996 5112 5254 7668 7881 7992 10508 15336 15762 19447 21016 23643 31524 38894 47286 58341 63048 70929 77788 94572 116682 141858 155576 175023 189144 233364 283716 350046 466728 525069 567432 700092 719539 1050138 1380737 1400184 1439078 2100276 2158617 2761474 2878156 4142211 4200552 4317234 5522948 5756312 6475851 8284422 8634468 11045896 12426633 12951702 16568844 17268936 19427553 24853266 25903404 33137688 37279899 38855106 49706532 51087269 51806808 74559798 77710212 99413064 102174538 149119596 153261807 155420424 204349076 298239192 306523614 408698152 459785421 613047228 919570842 1226094456 1379356263 1839141684 2758712526 3678283368 5517425052 11034850104