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23741673444 = 2232659490929
BaseRepresentation
bin10110000111000111…
…010010111111100100
32021021121010222021200
4112013013102333210
5342110332022234
614523510242500
71500224615556
oct260707227744
967247128250
1023741673444
11a083612725
124727056430
13231492c9a8
1412131d34d6
1593e4b4d99
hex5871d2fe4

23741673444 has 18 divisors (see below), whose sum is σ = 60013674630. Its totient is φ = 7913891136.

The previous prime is 23741673409. The next prime is 23741673451. The reversal of 23741673444 is 44437614732.

It can be written as a sum of positive squares in only one way, i.e., 21538497600 + 2203175844 = 146760^2 + 46938^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×237416734443 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 23741673444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 329745429 + ... + 329745500.

It is an arithmetic number, because the mean of its divisors is an integer number (3334093035).

Almost surely, 223741673444 is an apocalyptic number.

It is an amenable number.

23741673444 is an abundant number, since it is smaller than the sum of its proper divisors (36272001186).

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

23741673444 is a wasteful number, since it uses less digits than its factorization.

23741673444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659490939 (or 659490934 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 23741673444 in words is "twenty-three billion, seven hundred forty-one million, six hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 659490929 1318981858 1978472787 2637963716 3956945574 5935418361 7913891148 11870836722 23741673444