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9485603820 = 22345711231223
BaseRepresentation
bin10001101010110001…
…01101001111101100
3220111001211121020000
420311120231033230
5123411303310240
64205125224300
7454030205430
oct106530551754
926431747200
109485603820
114028415600
121a08862090
13b82264834
1465db009c0
153a7b4e430
hex23562d3ec

9485603820 has 720 divisors, whose sum is σ = 38759153664. Its totient is φ = 1898899200.

The previous prime is 9485603819. The next prime is 9485603837. The reversal of 9485603820 is 283065849.

9485603820 is a `hidden beast` number, since 9 + 4 + 8 + 560 + 3 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42536229 + ... + 42536451.

Almost surely, 29485603820 is an apocalyptic number.

9485603820 is a gapful number since it is divisible by the number (90) 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 9485603820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19379576832).

9485603820 is an abundant number, since it is smaller than the sum of its proper divisors (29273549844).

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

9485603820 is a wasteful number, since it uses less digits than its factorization.

9485603820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9485603820 is about 97394.0646035476. The cubic root of 9485603820 is about 2116.8414323496.

The spelling of 9485603820 in words is "nine billion, four hundred eighty-five million, six hundred three thousand, eight hundred twenty".