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9683305920 = 263351961967
BaseRepresentation
bin10010000010010101…
…11000010111000000
3220222211211220112000
421001022320113000
5124312411242140
64240510504000
7461650512411
oct110112702700
926884756460
109683305920
114119a79072
121a62b05000
13bb41c5c22
1467c085808
153ba1a2a30
hex2412b85c0

9683305920 has 448 divisors, whose sum is σ = 36585753600. Its totient is φ = 2403717120.

The previous prime is 9683305897. The next prime is 9683305963. The reversal of 9683305920 is 295033869.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10013277 + ... + 10014243.

Almost surely, 29683305920 is an apocalyptic number.

9683305920 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 9683305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292876800).

9683305920 is an abundant number, since it is smaller than the sum of its proper divisors (26902447680).

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

9683305920 is a wasteful number, since it uses less digits than its factorization.

9683305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9683305920 is about 98403.7901709075. The cubic root of 9683305920 is about 2131.4470627059.

The spelling of 9683305920 in words is "nine billion, six hundred eighty-three million, three hundred five thousand, nine hundred twenty".