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23016834369 = 3818732
BaseRepresentation
bin10101011011111010…
…010000010101000001
32012102002020100000000
4111123322100111001
5334114302144434
614323534350213
71443243602244
oct253372202501
965362210000
1023016834369
119841448371
12456435b369
13222a704729
141184c3125b
158eaa37b99
hex55be90541

23016834369 has 27 divisors (see below), whose sum is σ = 34541939523. Its totient is φ = 15336363744.

The previous prime is 23016834359. The next prime is 23016834371. The reversal of 23016834369 is 96343861032.

The square root of 23016834369 is 151713.

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

23016834369 is a `hidden beast` number, since 230 + 16 + 8 + 343 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 610337025 + 22406497344 = 24705^2 + 149688^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 23016834369 - 213 = 23016826177 is a prime.

It is a super-2 number, since 2×230168343692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23016834359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12287817 + ... + 12289689.

Almost surely, 223016834369 is an apocalyptic number.

23016834369 is the 151713-rd square number.

23016834369 is the 75857-th centered octagonal number.

It is an amenable number.

23016834369 is a deficient number, since it is larger than the sum of its proper divisors (11525105154).

23016834369 is an frugal number, since it uses more digits than its factorization.

23016834369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 23016834369 in words is "twenty-three billion, sixteen million, eight hundred thirty-four thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 1873 2187 5619 6561 16857 50571 151713 455139 1365417 3508129 4096251 10524387 12288753 31573161 94719483 284158449 852475347 2557426041 7672278123 23016834369