Search a number
-
+
189859985392 = 247112927119609
BaseRepresentation
bin1011000011010010001…
…0010111011111110000
3200011001200001120102211
42300310202113133300
511102313124013032
6223115342221504
716500623151130
oct2606442273760
9604050046384
10189859985392
1173579015140
1230967884894
1314b9961ab2c
149291512ac0
154e1315a747
hex2c348977f0

189859985392 has 160 divisors (see below), whose sum is σ = 476212377600. Its totient is φ = 71153510400.

The previous prime is 189859985353. The next prime is 189859985401. The reversal of 189859985392 is 293589958981.

189859985392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9672484 + ... + 9692092.

It is an arithmetic number, because the mean of its divisors is an integer number (2976327360).

Almost surely, 2189859985392 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 189859985392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238106188800).

189859985392 is an abundant number, since it is smaller than the sum of its proper divisors (286352392208).

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

189859985392 is a wasteful number, since it uses less digits than its factorization.

189859985392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19935 (or 19929 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 76.

The spelling of 189859985392 in words is "one hundred eighty-nine billion, eight hundred fifty-nine million, nine hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 271 308 319 406 464 542 616 638 812 1084 1232 1276 1624 1897 2168 2233 2552 2981 3248 3794 4336 4466 5104 5962 7588 7859 8932 11924 15176 15718 17864 19609 20867 23848 30352 31436 35728 39218 41734 47696 55013 62872 78436 83468 86449 110026 125744 137263 156872 166936 172898 215699 220052 274526 313744 333872 345796 431398 440104 549052 568661 605143 691592 862796 880208 1098104 1137322 1210286 1383184 1509893 1725592 2196208 2274644 2420572 3019786 3451184 3980627 4549288 4841144 5314039 6039572 6255271 7961254 9098576 9682288 10628078 12079144 12510542 15922508 21256156 24158288 25021084 31845016 37198273 42512312 43786897 50042168 58454429 63690032 74396546 85024624 87573794 100084336 116908858 148793092 154107131 175147588 233817716 297586184 308214262 350295176 409181003 467635432 595172368 616428524 700590352 818362006 935270864 1078749917 1232857048 1636724012 1695178441 2157499834 2465714096 3273448024 3390356882 4314999668 6546896048 6780713764 8629999336 11866249087 13561427528 17259998672 23732498174 27122855056 47464996348 94929992696 189859985392