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11793091216 = 2417215972
BaseRepresentation
bin10101111101110110…
…00100101010010000
31010102212210002212011
422332323010222100
5143123012404331
65230114512304
7565146423064
oct127673045220
933385702764
1011793091216
11500198aa85
122351595694
13115c32b9aa
147dc35baa4
154904ee3b1
hex2beec4a90

11793091216 has 45 divisors (see below), whose sum is σ = 24287450619. Its totient is φ = 5546214912.

The previous prime is 11793091201. The next prime is 11793091223. The reversal of 11793091216 is 61219039711.

The square root of 11793091216 is 108596.

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

11793091216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 11785273600 = 2796^2 + 108560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7383730 + ... + 7385326.

Almost surely, 211793091216 is an apocalyptic number.

11793091216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11793091216 is the 108596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11793091216

11793091216 is an abundant number, since it is smaller than the sum of its proper divisors (12494359403).

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

11793091216 is an frugal number, since it uses more digits than its factorization.

11793091216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 40.

The spelling of 11793091216 in words is "eleven billion, seven hundred ninety-three million, ninety-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1597 2312 3194 4624 6388 12776 25552 27149 54298 108596 217192 434384 461533 923066 1846132 2550409 3692264 5100818 7384528 10201636 20403272 40806544 43356953 86713906 173427812 346855624 693711248 737068201 1474136402 2948272804 5896545608 11793091216