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8653424640 = 21135740241
BaseRepresentation
bin10000000111100100…
…01100100000000000
3211100001221111222220
420003302030200000
5120210234042030
63550400531040
7424303616160
oct100362144000
924301844886
108653424640
1137406a6013
121816020a80
13a7ba25b13
145c139a5a0
15359a6ca10
hex203c8c800

8653424640 has 192 divisors, whose sum is σ = 31639870080. Its totient is φ = 1977876480.

The previous prime is 8653424531. The next prime is 8653424651. The reversal of 8653424640 is 464243568.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8653424592 and 8653424601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194920 + ... + 235160.

It is an arithmetic number, because the mean of its divisors is an integer number (164790990).

Almost surely, 28653424640 is an apocalyptic number.

8653424640 is a gapful number since it is divisible by the number (80) 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 8653424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819935040).

8653424640 is an abundant number, since it is smaller than the sum of its proper divisors (22986445440).

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

8653424640 is a wasteful number, since it uses less digits than its factorization.

8653424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40278 (or 40258 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 8653424640 is about 93023.7853454696. The cubic root of 8653424640 is about 2053.0333551016.

The spelling of 8653424640 in words is "eight billion, six hundred fifty-three million, four hundred twenty-four thousand, six hundred forty".