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8368738560 = 28345713887
BaseRepresentation
bin1111100101101000…
…01101000100000000
3210121020020222010000
413302310031010000
5114114344113220
63502231040000
7414246050460
oct76264150400
923536228100
108368738560
113604a31166
121756810000
13a34a5a510
14595651ba0
1533ea86390
hex1f2d0d100

8368738560 has 720 divisors, whose sum is σ = 36896783616. Its totient is φ = 1763721216.

The previous prime is 8368738559. The next prime is 8368738603. The reversal of 8368738560 is 658378638.

It is a happy number.

8368738560 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×83687385603 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8368738497 and 8368738506.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9434437 + ... + 9435323.

Almost surely, 28368738560 is an apocalyptic number.

8368738560 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 8368738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448391808).

8368738560 is an abundant number, since it is smaller than the sum of its proper divisors (28528045056).

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

8368738560 is a wasteful number, since it uses less digits than its factorization.

8368738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 8368738560 is about 91480.8097909064. The cubic root of 8368738560 is about 2030.2678317133.

The spelling of 8368738560 in words is "eight billion, three hundred sixty-eight million, seven hundred thirty-eight thousand, five hundred sixty".