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8736480064 = 261317617681
BaseRepresentation
bin10000010001011110…
…00001101101000000
3211112212020011121201
420020233001231000
5120343014330224
64002525030544
7426332566234
oct101057015500
924485204551
108736480064
113783573864
1218399b5454
13a92cb5b40
145cc41a5c4
15361ec6a44
hex208bc1b40

8736480064 has 56 divisors (see below), whose sum is σ = 19768294728. Its totient is φ = 3795025920.

The previous prime is 8736480043. The next prime is 8736480119. The reversal of 8736480064 is 4600846378.

It can be written as a sum of positive squares in 4 ways, for example, as 3350094400 + 5386385664 = 57880^2 + 73392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8736479996 and 8736480023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294697 + ... + 322984.

It is an arithmetic number, because the mean of its divisors is an integer number (353005263).

Almost surely, 28736480064 is an apocalyptic number.

It is an amenable number.

8736480064 is an abundant number, since it is smaller than the sum of its proper divisors (11031814664).

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

8736480064 is a wasteful number, since it uses less digits than its factorization.

8736480064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617723 (or 617713 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 8736480064 is about 93469.1396344269. The cubic root of 8736480064 is about 2059.5807787382.

The spelling of 8736480064 in words is "eight billion, seven hundred thirty-six million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 617681 1235362 2470724 4941448 8029853 9882896 10500577 16059706 19765792 21001154 32119412 39531584 42002308 64238824 84004616 128477648 136507501 168009232 256955296 273015002 336018464 513910592 546030004 672036928 1092060008 2184120016 4368240032 8736480064