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9878464960 = 265713312353
BaseRepresentation
bin10010011001100110…
…10110100111000000
3221111110002000101121
421030303112213000
5130212341334320
64312121442024
7466540365250
oct111463264700
927443060347
109878464960
11420a154a31
121ab8340314
13c15776950
14699d67960
153cc3a28aa
hex24ccd69c0

9878464960 has 336 divisors, whose sum is σ = 30000293568. Its totient is φ = 3016949760.

The previous prime is 9878464951. The next prime is 9878464961. The reversal of 9878464960 is 694648789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9878464961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27984144 + ... + 27984496.

It is an arithmetic number, because the mean of its divisors is an integer number (89286588).

Almost surely, 29878464960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9878464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000146784).

9878464960 is an abundant number, since it is smaller than the sum of its proper divisors (20121828608).

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

9878464960 is a wasteful number, since it uses less digits than its factorization.

9878464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The square root of 9878464960 is about 99390.4671485148. The cubic root of 9878464960 is about 2145.6711139665.

The spelling of 9878464960 in words is "nine billion, eight hundred seventy-eight million, four hundred sixty-four thousand, nine hundred sixty".