Search a number
-
+
189721835072 = 2671175750857
BaseRepresentation
bin1011000010110001001…
…1010111011001000000
3200010201001002210211022
42300230103113121000
511102022242210242
6223053525205012
716464324663410
oct2605423273100
9603631083738
10189721835072
1173508036820
1230929560768
1314b76b0a693
14927b030640
154e05e6c0d2
hex2c2c4d7640

189721835072 has 112 divisors (see below), whose sum is σ = 470006037888. Its totient is φ = 73818501120.

The previous prime is 189721835029. The next prime is 189721835077. The reversal of 189721835072 is 270538127981.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (189721835077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3705068 + ... + 3755924.

Almost surely, 2189721835072 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 189721835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235003018944).

189721835072 is an abundant number, since it is smaller than the sum of its proper divisors (280284202816).

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

189721835072 is a wasteful number, since it uses less digits than its factorization.

189721835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51644 (or 51634 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 189721835072 in words is "one hundred eighty-nine billion, seven hundred twenty-one million, eight hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 757 1232 1514 2464 3028 4928 5299 6056 8327 10598 12112 16654 21196 24224 33308 42392 48448 50857 58289 66616 84784 101714 116578 133232 169568 203428 233156 266464 339136 355999 406856 466312 532928 559427 711998 813712 932624 1118854 1423996 1627424 1865248 2237708 2847992 3254848 3730496 3915989 4475416 5695984 7831978 8950832 11391968 15663956 17901664 22783936 31327912 35803328 38498749 62655824 76997498 125311648 153994996 250623296 269491243 307989992 423486239 538982486 615979984 846972478 1077964972 1231959968 1693944956 2155929944 2463919936 2964403673 3387889912 4311859888 5928807346 6775779824 8623719776 11857614692 13551559648 17247439552 23715229384 27103119296 47430458768 94860917536 189721835072