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9460880352 = 253671123229
BaseRepresentation
bin10001100111110100…
…11001001111100000
3220102100022112000000
420303322121033200
5123333441132402
64202443300000
7453310104360
oct106372311740
926370275000
109460880352
114015469490
121a0051a600
13b7a0b9471
1465a7069a0
153a58b8c1c
hex233e993e0

9460880352 has 672 divisors, whose sum is σ = 36489761280. Its totient is φ = 2340264960.

The previous prime is 9460880291. The next prime is 9460880357. The reversal of 9460880352 is 2530880649.

9460880352 is a `hidden beast` number, since 9 + 4 + 608 + 8 + 0 + 35 + 2 = 666.

9460880352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 9460880298 and 9460880307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9460880357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41313774 + ... + 41314002.

It is an arithmetic number, because the mean of its divisors is an integer number (54300240).

Almost surely, 29460880352 is an apocalyptic number.

9460880352 is a gapful number since it is divisible by the number (92) 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 9460880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244880640).

9460880352 is an abundant number, since it is smaller than the sum of its proper divisors (27028880928).

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

9460880352 is a wasteful number, since it uses less digits than its factorization.

9460880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

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

The square root of 9460880352 is about 97267.0568692196. The cubic root of 9460880352 is about 2115.0007062017. Note that the first 3 decimals are identical.

The spelling of 9460880352 in words is "nine billion, four hundred sixty million, eight hundred eighty thousand, three hundred fifty-two".