Search a number
-
+
21589453950 = 23521936720641
BaseRepresentation
bin10100000110110101…
…001110110001111110
32001201121100220011120
4110012311032301332
5323203400011300
613530144531410
71363002221301
oct240665166176
961647326146
1021589453950
119179758329
124226320b66
132060a8a42c
14108b432b38
158655853a0
hex506d4ec7e

21589453950 has 96 divisors (see below), whose sum is σ = 56516144640. Its totient is φ = 5439052800.

The previous prime is 21589453939. The next prime is 21589453967. The reversal of 21589453950 is 5935498512.

It is a happy number.

It is a super-2 number, since 2×215894539502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21589453893 and 21589453902.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1035630 + ... + 1056270.

It is an arithmetic number, because the mean of its divisors is an integer number (588709840).

Almost surely, 221589453950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21589453950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28258072320).

21589453950 is an abundant number, since it is smaller than the sum of its proper divisors (34926690690).

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

21589453950 is a wasteful number, since it uses less digits than its factorization.

21589453950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21042 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 21589453950 in words is "twenty-one billion, five hundred eighty-nine million, four hundred fifty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 367 475 570 734 950 1101 1425 1835 2202 2850 3670 5505 6973 9175 11010 13946 18350 20641 20919 27525 34865 41282 41838 55050 61923 69730 103205 104595 123846 174325 206410 209190 309615 348650 392179 516025 522975 619230 784358 1032050 1045950 1176537 1548075 1960895 2353074 3096150 3921790 5882685 7575247 9804475 11765370 15150494 19608950 22725741 29413425 37876235 45451482 58826850 75752470 113628705 143929693 189381175 227257410 287859386 378762350 431789079 568143525 719648465 863578158 1136287050 1439296930 2158945395 3598242325 4317890790 7196484650 10794726975 21589453950