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9480078405 = 345719259157
BaseRepresentation
bin10001101010000111…
…01000010001000101
3220110200102212210000
420311003220101011
5123403400002110
64204410551513
7453632223360
oct106503502105
926420385700
109480078405
114025291246
121a06a38599
13b8107b865
1465d0a30d7
153a740c1c0
hex2350e8445

9480078405 has 240 divisors, whose sum is σ = 20977799040. Its totient is φ = 4010363136.

The previous prime is 9480078403. The next prime is 9480078409. The reversal of 9480078405 is 5048700849.

It is not a de Polignac number, because 9480078405 - 21 = 9480078403 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9480078403) 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 239 ways as a sum of consecutive naturals, for example, 60382587 + ... + 60382743.

It is an arithmetic number, because the mean of its divisors is an integer number (87407496).

Almost surely, 29480078405 is an apocalyptic number.

9480078405 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9480078405 is an abundant number, since it is smaller than the sum of its proper divisors (11497720635).

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

9480078405 is a wasteful number, since it uses less digits than its factorization.

9480078405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9480078405 is about 97365.6941894834. The cubic root of 9480078405 is about 2116.4303286941.

The spelling of 9480078405 in words is "nine billion, four hundred eighty million, seventy-eight thousand, four hundred five".