Search a number
-
+
853750119992 = 237118319983911
BaseRepresentation
bin11000110110001110111…
…10001111111000111000
310000121200022110202010112
430123013132033320320
5102441440012314432
61452112444003452
7115452503166140
oct14330736177070
93017608422115
10853750119992
112aa08975a470
12119567230588
136267b93abc3
142d470b61920
151731beed7b2
hexc6c778fe38

853750119992 has 128 divisors (see below), whose sum is σ = 2029999104000. Its totient is φ = 326967062400.

The previous prime is 853750119991. The next prime is 853750120007. The reversal of 853750119992 is 299911057358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853750119991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10132517 + ... + 10216427.

It is an arithmetic number, because the mean of its divisors is an integer number (15859368000).

Almost surely, 2853750119992 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 853750119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014999552000).

853750119992 is an abundant number, since it is smaller than the sum of its proper divisors (1176248984008).

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

853750119992 is a wasteful number, since it uses less digits than its factorization.

853750119992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84217 (or 84213 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 59.

The spelling of 853750119992 in words is "eight hundred fifty-three billion, seven hundred fifty million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 199 308 332 398 581 616 664 796 913 1162 1393 1592 1826 2189 2324 2786 3652 4378 4648 5572 6391 7304 8756 11144 12782 15323 16517 17512 25564 30646 33034 51128 61292 66068 83911 115619 122584 132136 167822 181687 231238 335644 363374 462476 587377 671288 726748 923021 924952 1174754 1271809 1453496 1846042 2349508 2543618 3692084 4699016 5087236 6461147 6964613 7384168 10174472 12922294 13929226 16698289 25844588 27858452 33396578 48752291 51689176 55716904 66793156 76610743 97504582 116888023 133586312 153221486 183681179 195009164 233776046 306442972 367362358 390018328 467552092 536275201 612885944 734724716 935104184 1072550402 1285768253 1385957987 1469449432 2145100804 2571536506 2771915974 4290201608 5143073012 5543831948 9701705909 10286146024 11087663896 15245537857 19403411818 30491075714 38806823636 60982151428 77613647272 106718764999 121964302856 213437529998 426875059996 853750119992