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9788420096 = 21271326261
BaseRepresentation
bin10010001110110111…
…10111000000000000
3221021011122021001122
421013123313000000
5130021313420341
64255143451412
7464365124630
oct110733670000
927234567048
109788420096
114173342994
121a92156b68
13bccc0a470
1468c0086c0
153c451794b
hex2476f7000

9788420096 has 104 divisors (see below), whose sum is σ = 24092548704. Its totient is φ = 3872194560.

The previous prime is 9788420093. The next prime is 9788420107. The reversal of 9788420096 is 6900248879.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9788420093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359606 + ... + 385866.

Almost surely, 29788420096 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 9788420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046274352).

9788420096 is an abundant number, since it is smaller than the sum of its proper divisors (14304128608).

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

9788420096 is a wasteful number, since it uses less digits than its factorization.

9788420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26305 (or 26283 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 9788420096 is about 98936.4447309484. Note that the first 3 decimals coincide. The cubic root of 9788420096 is about 2139.1317478136.

The spelling of 9788420096 in words is "nine billion, seven hundred eighty-eight million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 11648 13312 14336 23296 26261 26624 28672 46592 52522 53248 93184 105044 183827 186368 210088 341393 367654 372736 420176 682786 735308 840352 1365572 1470616 1680704 2389751 2731144 2941232 3361408 4779502 5462288 5882464 6722816 9559004 10924576 11764928 13445632 19118008 21849152 23529856 26891264 38236016 43698304 47059712 53782528 76472032 87396608 94119424 107565056 152944064 174793216 188238848 305888128 349586432 376477696 611776256 699172864 752955392 1223552512 1398345728 2447105024 4894210048 9788420096