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11331426834 = 23271319219163
BaseRepresentation
bin10101000110110011…
…11101101000010010
31002020201002010101100
422203121331220102
5141201321124314
65112223445230
7550542352560
oct124331755022
932221063340
1011331426834
114895327772
122242a56816
1310b77a99c0
14796d04a30
15464c09c09
hex2a367da12

11331426834 has 144 divisors (see below), whose sum is σ = 31892882112. Its totient is φ = 2831070528.

The previous prime is 11331426829. The next prime is 11331426863. The reversal of 11331426834 is 43862413311.

11331426834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 581737 + ... + 600899.

It is an arithmetic number, because the mean of its divisors is an integer number (221478348).

Almost surely, 211331426834 is an apocalyptic number.

11331426834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331426834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946441056).

11331426834 is an abundant number, since it is smaller than the sum of its proper divisors (20561455278).

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

11331426834 is a wasteful number, since it uses less digits than its factorization.

11331426834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19207 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 11331426834 in words is "eleven billion, three hundred thirty-one million, four hundred twenty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 361 399 494 546 722 741 798 819 1083 1197 1482 1638 1729 2166 2223 2394 2527 3249 3458 4446 4693 5054 5187 6498 7581 9386 10374 14079 15162 15561 19163 22743 28158 31122 32851 38326 42237 45486 57489 65702 84474 98553 114978 134141 172467 197106 249119 268282 295659 344934 364097 402423 498238 591318 728194 747357 804846 1092291 1207269 1494714 1743833 2184582 2242071 2414538 2548679 3276873 3487666 4484142 4733261 5097358 5231499 6553746 6917843 7646037 9466522 10462998 13835686 14199783 15292074 15694497 20753529 22938111 28399566 31388994 33132827 41507058 42599349 45876222 48424901 62260587 66265654 85198698 89931959 96849802 99398481 124521174 145274703 179863918 198796962 269795877 290549406 298195443 435824109 539591754 596390886 629523713 809387631 871648218 1259047426 1618775262 1888571139 3777142278 5665713417 11331426834