Search a number
-
+
189858889984 = 2811322412
BaseRepresentation
bin1011000011010001111…
…0001100000100000000
3200011001120222220211011
42300310132030010000
511102312333434414
6223115302530304
716500610636411
oct2606436140400
9604046886734
10189858889984
1173578437145
1230967436994
1314b9932636a
149291309808
154e12ee0dc4
hex2c3478c100

189858889984 has 81 divisors (see below), whose sum is σ = 383952731799. Its totient is φ = 93698949120.

The previous prime is 189858889973. The next prime is 189858890009. The reversal of 189858889984 is 489988858981.

The square root of 189858889984 is 435728.

It is a perfect power (a square), and thus also a powerful number.

189858889984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27185414400 + 162673475584 = 164880^2 + 403328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 787796104 + ... + 787796344.

Almost surely, 2189858889984 is an apocalyptic number.

189858889984 is the 435728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189858889984

189858889984 is an abundant number, since it is smaller than the sum of its proper divisors (194093841815).

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

189858889984 is an frugal number, since it uses more digits than its factorization.

189858889984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 356 counting only the distinct ones).

The product of its digits is 3822059520, while the sum is 85.

The spelling of 189858889984 in words is "one hundred eighty-nine billion, eight hundred fifty-eight million, eight hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 241 256 452 482 904 964 1808 1928 3616 3856 7232 7712 12769 14464 15424 25538 27233 28928 30848 51076 54466 58081 61696 102152 108932 116162 204304 217864 232324 408608 435728 464648 817216 871456 929296 1634432 1742912 1858592 3077329 3268864 3485824 3717184 6154658 6563153 6971648 7434368 12309316 13126306 14868736 24618632 26252612 49237264 52505224 98474528 105010448 196949056 210020896 393898112 420041792 741636289 787796224 840083584 1483272578 1680167168 2966545156 5933090312 11866180624 23732361248 47464722496 94929444992 189858889984