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9996757776 = 2433106921647
BaseRepresentation
bin10010100111101101…
…00110101100010000
3221210200122220122000
421103312212230100
5130433132222101
64331545114000
7502505016255
oct112366465420
927720586560
109996757776
11426aa00095
121b2ba88900
13c341237b5
146ab95b42c
153d796c486
hex253da6b10

9996757776 has 80 divisors (see below), whose sum is σ = 28722566400. Its totient is φ = 3328981632.

The previous prime is 9996757759. The next prime is 9996757817. The reversal of 9996757776 is 6777576999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450985 + ... + 472631.

It is an arithmetic number, because the mean of its divisors is an integer number (359032080).

Almost surely, 29996757776 is an apocalyptic number.

9996757776 is the 57726-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996757776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361283200).

9996757776 is an abundant number, since it is smaller than the sum of its proper divisors (18725808624).

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

9996757776 is a wasteful number, since it uses less digits than its factorization.

9996757776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22733 (or 22721 counting only the distinct ones).

The product of its digits is 315059220, while the sum is 72.

The square root of 9996757776 is about 99983.7875657849. The cubic root of 9996757776 is about 2154.2018262016.

The spelling of 9996757776 in words is "nine billion, nine hundred ninety-six million, seven hundred fifty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1069 2138 3207 4276 6414 8552 9621 12828 17104 19242 21647 25656 28863 38484 43294 51312 57726 64941 76968 86588 115452 129882 153936 173176 194823 230904 259764 346352 389646 461808 519528 584469 779292 1039056 1168938 1558584 2337876 3117168 4675752 9351504 23140643 46281286 69421929 92562572 138843858 185125144 208265787 277687716 370250288 416531574 555375432 624797361 833063148 1110750864 1249594722 1666126296 2499189444 3332252592 4998378888 9996757776