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21250456040544 = 2532311287852689
BaseRepresentation
bin1001101010011110000011…
…11000100011010001100000
32210020112010211010001021120
410311033001320203101200
510241131413221244134
6113110154050452240
74322203053005643
oct465170170432140
983215124101246
1021250456040544
1168532a4489195
122472592894080
13bb1ba8c71723
145367558a7a5a
1526cb8e499649
hex1353c1e23460

21250456040544 has 96 divisors (see below), whose sum is σ = 58212996226560. Its totient is φ = 6774899484672.

The previous prime is 21250456040533. The next prime is 21250456040549. The reversal of 21250456040544 is 44504065405212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21250456040496 and 21250456040505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21250456040549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24495352 + ... + 25348040.

It is an arithmetic number, because the mean of its divisors is an integer number (606385377360).

Almost surely, 221250456040544 is an apocalyptic number.

21250456040544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21250456040544 is an abundant number, since it is smaller than the sum of its proper divisors (36962540186016).

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

21250456040544 is a wasteful number, since it uses less digits than its factorization.

21250456040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864012 (or 864004 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 21250456040544 in words is "twenty-one trillion, two hundred fifty billion, four hundred fifty-six million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 11287 22574 33861 45148 67722 90296 135444 180592 259601 270888 361184 519202 541776 778803 852689 1038404 1083552 1557606 1705378 2076808 2558067 3115212 3410756 4153616 5116134 6230424 6821512 8307232 10232268 12460848 13643024 19611847 20464536 24921696 27286048 39223694 40929072 58835541 78447388 81858144 117671082 156894776 235342164 313789552 470684328 627579104 941368656 1882737312 9624300743 19248601486 28872902229 38497202972 57745804458 76994405944 115491608916 153988811888 221358917089 230983217832 307977623776 442717834178 461966435664 664076751267 885435668356 923932871328 1328153502534 1770871336712 2656307005068 3541742673424 5312614010136 7083485346848 10625228020272 21250456040544