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982145472990 = 2351125033118891
BaseRepresentation
bin11100100101011000110…
…11101001100111011110
310110220002101222110212220
432102230123221213132
5112042413220113430
62031105202010210
7130646323530303
oct16225433514736
93426071873786
10982145472990
11349586573550
1213a41a646966
1371801240766
14357710870aa
151a834046110
hexe4ac6e99de

982145472990 has 64 divisors (see below), whose sum is σ = 2571559771392. Its totient is φ = 238084358400.

The previous prime is 982145472941. The next prime is 982145473003. The reversal of 982145472990 is 99274541289.

It is a super-2 number, since 2×9821454729902 (a number of 25 digits) contains 22 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8201445 + ... + 8320335.

It is an arithmetic number, because the mean of its divisors is an integer number (40180621428).

Almost surely, 2982145472990 is an apocalyptic number.

982145472990 is an abundant number, since it is smaller than the sum of its proper divisors (1589414298402).

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

982145472990 is a wasteful number, since it uses less digits than its factorization.

982145472990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143945.

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 982145472990 in words is "nine hundred eighty-two billion, one hundred forty-five million, four hundred seventy-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 25033 50066 75099 118891 125165 150198 237782 250330 275363 356673 375495 550726 594455 713346 750990 826089 1188910 1307801 1376815 1652178 1783365 2615602 2753630 3566730 3923403 4130445 6539005 7846806 8260890 13078010 19617015 39234030 2976198403 5952396806 8928595209 14880992015 17857190418 29761984030 32738182433 44642976045 65476364866 89285952090 98214547299 163690912165 196429094598 327381824330 491072736495 982145472990