Search a number
-
+
185005405026 = 234132319119997
BaseRepresentation
bin1010110001001100101…
…1100111001101100010
3122200112100022100010000
42230103023213031202
511012342340430101
6220553523520430
716236414665451
oct2542313471542
9580470270100
10185005405026
1171507801052
122ba31b29116
13145a4946380
148d508a6b98
154c2bd7b486
hex2b132e7362

185005405026 has 160 divisors (see below), whose sum is σ = 468310284288. Its totient is φ = 54161965440.

The previous prime is 185005405009. The next prime is 185005405061. The reversal of 185005405026 is 620504500581.

185005405026 is a `hidden beast` number, since 18 + 50 + 0 + 540 + 50 + 2 + 6 = 666.

185005405026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9241660 + ... + 9261656.

Almost surely, 2185005405026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185005405026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234155142144).

185005405026 is an abundant number, since it is smaller than the sum of its proper divisors (283304879262).

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

185005405026 is a wasteful number, since it uses less digits than its factorization.

185005405026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20238 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 185005405026 in words is "one hundred eighty-five billion, five million, four hundred five thousand, twenty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 191 207 234 299 351 382 414 573 598 621 702 897 1053 1146 1242 1719 1794 1863 2106 2483 2691 3438 3726 4393 4966 5157 5382 7449 8073 8786 10314 13179 14898 15471 16146 19997 22347 24219 26358 30942 39537 39994 44694 48438 57109 59991 67041 79074 114218 118611 119982 134082 171327 179973 201123 237222 259961 342654 355833 359946 402246 459931 513981 519922 539919 711666 779883 919862 1027962 1079838 1379793 1541943 1559766 1619757 2339649 2759586 3083886 3239514 3819427 4139379 4625829 4679298 5979103 7018947 7638854 8278758 9251658 11458281 11958206 12418137 14037894 17937309 21056841 22916562 24836274 34374843 35874618 37254411 42113682 49652551 53811927 68749686 74508822 87846821 99305102 103124529 107623854 148957653 161435781 175693642 206249058 263540463 297915306 309373587 322871562 446872959 484307343 527080926 618747174 790621389 893745918 968614686 1142008673 1340618877 1581242778 2284017346 2371864167 2681237754 3426026019 4021856631 4743728334 6852052038 7115592501 8043713262 10278078057 14231185002 20556156114 30834234171 61668468342 92502702513 185005405026