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9955284576 = 253878311807
BaseRepresentation
bin10010100010110000…
…11001011001100000
3221200210121212002120
421101120121121200
5130342023101301
64323504144240
7501462344166
oct112130313140
927623555076
109955284576
114249553716
121b1a008080
13c28662543
146a6243236
153d3ec8e36
hex251619660

9955284576 has 48 divisors (see below), whose sum is σ = 26137810944. Its totient is φ = 3317769344.

The previous prime is 9955284571. The next prime is 9955284611. The reversal of 9955284576 is 6754825599.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955284571) 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 7 ways as a sum of consecutive naturals, for example, 837265 + ... + 849071.

It is an arithmetic number, because the mean of its divisors is an integer number (544537728).

Almost surely, 29955284576 is an apocalyptic number.

9955284576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9955284576 is an abundant number, since it is smaller than the sum of its proper divisors (16182526368).

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

9955284576 is a wasteful number, since it uses less digits than its factorization.

9955284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20603 (or 20595 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 60.

The square root of 9955284576 is about 99776.1723859960. The cubic root of 9955284576 is about 2151.2186763894.

The spelling of 9955284576 in words is "nine billion, nine hundred fifty-five million, two hundred eighty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8783 11807 17566 23614 26349 35132 35421 47228 52698 70264 70842 94456 105396 140528 141684 188912 210792 281056 283368 377824 421584 566736 843168 1133472 103700881 207401762 311102643 414803524 622205286 829607048 1244410572 1659214096 2488821144 3318428192 4977642288 9955284576