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23163613344 = 2532591363207
BaseRepresentation
bin10101100100101010…
…001011000010100000
32012210022102110220100
4111210222023002200
5334414341111334
614350300342400
71450005315264
oct254452130240
965708373810
1023163613344
11990728a603
1245a5544a00
132251c464b1
14119a51c0a4
1590887cc99
hex564a8b0a0

23163613344 has 72 divisors (see below), whose sum is σ = 66988041120. Its totient is φ = 7590331008.

The previous prime is 23163613307. The next prime is 23163613349. The reversal of 23163613344 is 44331636132.

23163613344 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 3 + 613 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23163613299 and 23163613308.

It is not an unprimeable number, because it can be changed into a prime (23163613349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 664612 + ... + 698595.

It is an arithmetic number, because the mean of its divisors is an integer number (930389460).

Almost surely, 223163613344 is an apocalyptic number.

23163613344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23163613344 is an abundant number, since it is smaller than the sum of its proper divisors (43824427776).

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

23163613344 is a wasteful number, since it uses less digits than its factorization.

23163613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363282 (or 1363271 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 23163613344 in words is "twenty-three billion, one hundred sixty-three million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 1363207 2726414 4089621 5452828 8179242 10905656 12268863 16358484 21811312 24537726 32716968 43622624 49075452 65433936 80429213 98150904 130867872 160858426 196301808 241287639 321716852 392603616 482575278 643433704 723862917 965150556 1286867408 1447725834 1930301112 2573734816 2895451668 3860602224 5790903336 7721204448 11581806672 23163613344