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9963962368 = 217194001
BaseRepresentation
bin10010100011110011…
…00000000000000000
3221201101221201210021
421101321200000000
5130401233243433
64324414143224
7501626165653
oct112171400000
927641851707
109963962368
114253440448
121b20ab1b14
13c2a3b0329
146a746189a
153d4b4022d
hex251e60000

9963962368 has 72 divisors (see below), whose sum is σ = 20981925720. Its totient is φ = 4718592000.

The previous prime is 9963962357. The next prime is 9963962369. The reversal of 9963962368 is 8632693699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963962369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2488368 + ... + 2492368.

It is an arithmetic number, because the mean of its divisors is an integer number (291415635).

Almost surely, 29963962368 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 9963962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490962860).

9963962368 is an abundant number, since it is smaller than the sum of its proper divisors (11017963352).

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

9963962368 is an frugal number, since it uses more digits than its factorization.

9963962368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4022 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 61.

The square root of 9963962368 is about 99819.6492079591. The cubic root of 9963962368 is about 2151.8435507663.

The spelling of 9963962368 in words is "nine billion, nine hundred sixty-three million, nine hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4001 4096 4864 8002 8192 9728 16004 16384 19456 32008 32768 38912 64016 65536 76019 77824 128032 131072 152038 155648 256064 304076 311296 512128 608152 622592 1024256 1216304 1245184 2048512 2432608 2490368 4097024 4865216 8194048 9730432 16388096 19460864 32776192 38921728 65552384 77843456 131104768 155686912 262209536 311373824 524419072 622747648 1245495296 2490990592 4981981184 9963962368