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9420485760 = 273357194099
BaseRepresentation
bin10001100011000000…
…10011010010000000
3220022112022021001000
420301200103102000
5123243121021020
64154441412000
7452306544030
oct106140232200
926275267030
109420485760
113aa4689424
1219aaa9a000
13b7191513a
146551cd8c0
153a208a090
hex231813480

9420485760 has 512 divisors, whose sum is σ = 40147200000. Its totient is φ = 2039427072.

The previous prime is 9420485759. The next prime is 9420485783. The reversal of 9420485760 is 675840249.

It is a happy number.

9420485760 is a `hidden beast` number, since 94 + 20 + 485 + 7 + 60 = 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 63 ways as a sum of consecutive naturals, for example, 2296191 + ... + 2300289.

It is an arithmetic number, because the mean of its divisors is an integer number (78412500).

Almost surely, 29420485760 is an apocalyptic number.

9420485760 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 9420485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600000).

9420485760 is an abundant number, since it is smaller than the sum of its proper divisors (30726714240).

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

9420485760 is a wasteful number, since it uses less digits than its factorization.

9420485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9420485760 is about 97059.1868912984. The cubic root of 9420485760 is about 2111.9863118948.

The spelling of 9420485760 in words is "nine billion, four hundred twenty million, four hundred eighty-five thousand, seven hundred sixty".