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9978677324 = 2272118355763
BaseRepresentation
bin10010100101100011…
…01000100001001100
3221202102122022220122
421102301220201030
5130414020133244
64330101404112
7502165233500
oct112261504114
927672568818
109978677324
114260780a70
121b25a09638
13c30462cc5
146a93b2300
153d609a1ee
hex252c6884c

9978677324 has 72 divisors (see below), whose sum is σ = 22427834688. Its totient is φ = 3840886560.

The previous prime is 9978677311. The next prime is 9978677329. The reversal of 9978677324 is 4237768799.

It is a super-2 number, since 2×99786773242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9978677329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 151067 + ... + 206829.

It is an arithmetic number, because the mean of its divisors is an integer number (311497704).

Almost surely, 29978677324 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 9978677324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213917344).

9978677324 is an abundant number, since it is smaller than the sum of its proper divisors (12449157364).

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

9978677324 is a wasteful number, since it uses less digits than its factorization.

9978677324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55875 (or 55866 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 62.

The square root of 9978677324 is about 99893.3297272646. The cubic root of 9978677324 is about 2152.9023232813.

The spelling of 9978677324 in words is "nine billion, nine hundred seventy-eight million, six hundred seventy-seven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 83 98 154 166 196 308 332 539 581 913 1078 1162 1826 2156 2324 3652 4067 6391 8134 12782 16268 25564 44737 55763 89474 111526 178948 223052 390341 613393 780682 1226786 1561364 2453572 2732387 4293751 4628329 5464774 8587502 9256658 10929548 17175004 18513316 30056257 32398303 50911619 60112514 64796606 101823238 120225028 129593212 203646476 226788121 356381333 453576242 712762666 907152484 1425525332 2494669331 4989338662 9978677324