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9984960801 = 341032834229
BaseRepresentation
bin10010100110010011…
…00110100100100001
3221202212110120020000
421103021212210201
5130422122221201
64330444210213
7502302523614
oct112311464441
927685416200
109984960801
114264282922
121b27b39969
13c3185303a
146aa16a17b
153d68dbd86
hex253266921

9984960801 has 40 divisors (see below), whose sum is σ = 15117410880. Its totient is φ = 6567166368.

The previous prime is 9984960751. The next prime is 9984960803. The reversal of 9984960801 is 1080694899.

It is not a de Polignac number, because 9984960801 - 26 = 9984960737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9984960803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2358955 + ... + 2363183.

It is an arithmetic number, because the mean of its divisors is an integer number (377935272).

Almost surely, 29984960801 is an apocalyptic number.

It is an amenable number.

9984960801 is a deficient number, since it is larger than the sum of its proper divisors (5132450079).

9984960801 is a wasteful number, since it uses less digits than its factorization.

9984960801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9984960801 is about 99924.7757115321. The cubic root of 9984960801 is about 2153.3541157505.

The spelling of 9984960801 in words is "nine billion, nine hundred eighty-four million, nine hundred sixty thousand, eight hundred one".

Divisors: 1 3 9 27 81 103 283 309 849 927 2547 2781 4229 7641 8343 12687 22923 29149 38061 87447 114183 262341 342549 435587 787023 1196807 1306761 2361069 3590421 3920283 10771263 11760849 32313789 35282547 96941367 123271121 369813363 1109440089 3328320267 9984960801