Search a number
-
+
165395981304 = 233247321715193
BaseRepresentation
bin1001101000001001011…
…1100110001111111000
3120210220201201101210100
42122002113212033320
510202212332400204
6203552025515400
714643444434061
oct2320227461770
9523821641710
10165395981304
11641647a0844
122807a942b60
131279b160878
148010411568
154480561a39
hex26825e63f8

165395981304 has 96 divisors (see below), whose sum is σ = 457650573120. Its totient is φ = 53938649088.

The previous prime is 165395981291. The next prime is 165395981371. The reversal of 165395981304 is 403189593561.

165395981304 is a `hidden beast` number, since 1 + 6 + 5 + 39 + 598 + 13 + 0 + 4 = 666.

165395981304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1653959813043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10878732 + ... + 10893924.

It is an arithmetic number, because the mean of its divisors is an integer number (4767193470).

Almost surely, 2165395981304 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 165395981304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228825286560).

165395981304 is an abundant number, since it is smaller than the sum of its proper divisors (292254591816).

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

165395981304 is a wasteful number, since it uses less digits than its factorization.

165395981304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 165395981304 in words is "one hundred sixty-five billion, three hundred ninety-five million, nine hundred eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3217 3384 6434 9651 12868 15193 19302 25736 28953 30386 38604 45579 57906 60772 77208 91158 115812 121544 136737 151199 182316 231624 273474 302398 364632 453597 546948 604796 714071 907194 1093896 1209592 1360791 1428142 1814388 2142213 2721582 2856284 3628776 4284426 5443164 5712568 6426639 8568852 10886328 12853278 17137704 25706556 48875881 51413112 97751762 146627643 195503524 293255286 391007048 439882929 586510572 879765858 1173021144 1759531716 2297166407 3519063432 4594332814 6891499221 9188665628 13782998442 18377331256 20674497663 27565996884 41348995326 55131993768 82697990652 165395981304