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9807984956 = 22711127250741
BaseRepresentation
bin10010010001001100…
…11111100100111100
3221022112110021000002
421020212133210330
5130041321004311
64301123053432
7465023332220
oct111046374474
927275407002
109807984956
1141833962a0
121a98811278
13c03c9a7c3
1469085c780
153c60ce93b
hex24899f93c

9807984956 has 48 divisors (see below), whose sum is σ = 21567823872. Its totient is φ = 3791188800.

The previous prime is 9807984937. The next prime is 9807984961. The reversal of 9807984956 is 6594897089.

9807984956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9807984892 and 9807984901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86255 + ... + 164486.

It is an arithmetic number, because the mean of its divisors is an integer number (449329664).

Almost surely, 29807984956 is an apocalyptic number.

It is an amenable number.

9807984956 is an abundant number, since it is smaller than the sum of its proper divisors (11759838916).

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

9807984956 is a wasteful number, since it uses less digits than its factorization.

9807984956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250890 (or 250888 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 65.

The square root of 9807984956 is about 99035.2712724108. The cubic root of 9807984956 is about 2140.5560144315.

The spelling of 9807984956 in words is "nine billion, eight hundred seven million, nine hundred eighty-four thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 5588 9779 19558 39116 250741 501482 1002964 1755187 2758151 3510374 5516302 7020748 11032604 19307057 31844107 38614114 63688214 77228228 127376428 222908749 350285177 445817498 700570354 891634996 1401140708 2451996239 4903992478 9807984956