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21260865400 = 235222722063
BaseRepresentation
bin10011110011001111…
…110000111101111000
32000212201001212102021
4103303033300331320
5322020240143100
613433410044224
71351602242215
oct236317607570
960781055367
1021260865400
119020227945
124154279674
13200a98cc38
14105993ab0c
158467caa1a
hex4f33f0f78

21260865400 has 72 divisors (see below), whose sum is σ = 49674298320. Its totient is φ = 8462777920.

The previous prime is 21260865389. The next prime is 21260865421. The reversal of 21260865400 is 456806212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10304769 + ... + 10306831.

It is an arithmetic number, because the mean of its divisors is an integer number (689920810).

Almost surely, 221260865400 is an apocalyptic number.

21260865400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21260865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837149160).

21260865400 is an abundant number, since it is smaller than the sum of its proper divisors (28413432920).

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

21260865400 is a wasteful number, since it uses less digits than its factorization.

21260865400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 21260865400 in words is "twenty-one billion, two hundred sixty million, eight hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2063 2270 4126 4540 5675 8252 9080 10315 11350 16504 20630 22700 41260 45400 51529 51575 82520 103058 103150 206116 206300 257645 412232 412600 468301 515290 936602 1030580 1288225 1873204 2061160 2341505 2576450 3746408 4683010 5152900 9366020 10305800 11707525 18732040 23415050 46830100 93660200 106304327 212608654 425217308 531521635 850434616 1063043270 2126086540 2657608175 4252173080 5315216350 10630432700 21260865400