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6865116736 = 26103572
BaseRepresentation
bin1100110010011000…
…10101111001000000
3122201102221001201211
412121030111321000
5103024432213421
63053115135504
7332060346412
oct63114257100
918642831654
106865116736
112a031a78a5
1213b7144594
1385539a86a
14491a889b2
152a2a739e1
hex199315e40

6865116736 has 21 divisors (see below), whose sum is σ = 13624281489. Its totient is φ = 3432226944.

The previous prime is 6865116707. The next prime is 6865116737. The reversal of 6865116736 is 6376115686.

It is a happy number.

The square root of 6865116736 is 82856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3424590400 + 3440526336 = 58520^2 + 58656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6865116736.

It is not an unprimeable number, because it can be changed into a prime (6865116737) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 657670 + ... + 668026.

It is an arithmetic number, because the mean of its divisors is an integer number (648775309).

Almost surely, 26865116736 is an apocalyptic number.

6865116736 is the 82856-th square number.

It is an amenable number.

6865116736 is a deficient number, since it is larger than the sum of its proper divisors (6759164753).

6865116736 is an frugal number, since it uses more digits than its factorization.

6865116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20726 (or 10359 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The cubic root of 6865116736 is about 1900.5646277594.

Multiplying 6865116736 by its sum of digits (49), we get a square (336390720064 = 5799922).

The spelling of 6865116736 in words is "six billion, eight hundred sixty-five million, one hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 10357 20714 41428 82856 165712 331424 662848 107267449 214534898 429069796 858139592 1716279184 3432558368 6865116736