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23858509444 = 2272112172592
BaseRepresentation
bin10110001110000100…
…111111011010000100
32021120201222212010221
4112032010333122010
5342330234300234
614543242354124
71503143661400
oct261604773204
967521885127
1023858509444
11a133563300
12475a1bb944
132332bb9713
141224928100
15949892eb4
hex58e13f684

23858509444 has 243 divisors, whose sum is σ = 57688445829. Its totient is φ = 8600444160.

The previous prime is 23858509439. The next prime is 23858509483. The reversal of 23858509444 is 44490585832.

It is a happy number.

The square root of 23858509444 is 154462.

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., 18574964100 + 5283545344 = 136290^2 + 72688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23858509391 and 23858509400.

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 80 ways as a sum of consecutive naturals, for example, 404381487 + ... + 404381545.

Almost surely, 223858509444 is an apocalyptic number.

23858509444 is the 154462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23858509444

23858509444 is an abundant number, since it is smaller than the sum of its proper divisors (33829936385).

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

23858509444 is a wasteful number, since it uses less digits than its factorization.

23858509444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 23858509444 in words is "twenty-three billion, eight hundred fifty-eight million, five hundred nine thousand, four hundred forty-four".