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9952389216 = 253373114371
BaseRepresentation
bin10010100010011010…
…10110100001100000
3221200121011202102000
421101031112201200
5130340302423331
64323322124000
7501425625000
oct112115264140
927617152360
109952389216
114247956360
121b19050600
13c27b8a703
146a5acc000
153d3b060e6
hex251356860

9952389216 has 768 divisors, whose sum is σ = 38320128000. Its totient is φ = 2489356800.

The previous prime is 9952389211. The next prime is 9952389229. The reversal of 9952389216 is 6129832599.

It is a happy number.

9952389216 is a `hidden beast` number, since 99 + 523 + 8 + 9 + 21 + 6 = 666.

It is a super-2 number, since 2×99523892162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952389211) 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 127 ways as a sum of consecutive naturals, for example, 140174461 + ... + 140174531.

It is an arithmetic number, because the mean of its divisors is an integer number (49896000).

Almost surely, 29952389216 is an apocalyptic number.

9952389216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952389216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064000).

9952389216 is an abundant number, since it is smaller than the sum of its proper divisors (28367738784).

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

9952389216 is a wasteful number, since it uses less digits than its factorization.

9952389216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 9952389216 is about 99761.6620551202. The cubic root of 9952389216 is about 2151.0101052067.

The spelling of 9952389216 in words is "nine billion, nine hundred fifty-two million, three hundred eighty-nine thousand, two hundred sixteen".