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9878004864 = 27337313641
BaseRepresentation
bin10010011001100011…
…00110010010000000
3221111102012122021000
421030301212102000
5130212232123424
64312103532000
7466533441000
oct111461462200
927442178230
109878004864
114209970292
121ab815a000
13c156453c0
14699c88000
153cc3113c9
hex24cc66480

9878004864 has 512 divisors, whose sum is σ = 36671040000. Its totient is φ = 2601123840.

The previous prime is 9878004839. The next prime is 9878004883. The reversal of 9878004864 is 4684008789.

9878004864 is a `hidden beast` number, since 9 + 87 + 80 + 0 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9878004864.

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, 15409984 + ... + 15410624.

It is an arithmetic number, because the mean of its divisors is an integer number (71623125).

Almost surely, 29878004864 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 9878004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335520000).

9878004864 is an abundant number, since it is smaller than the sum of its proper divisors (26793035136).

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

9878004864 is a wasteful number, since it uses less digits than its factorization.

9878004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 9878004864 is about 99388.1525333880. The cubic root of 9878004864 is about 2145.6378014350.

The spelling of 9878004864 in words is "nine billion, eight hundred seventy-eight million, four thousand, eight hundred sixty-four".