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21543329120244 = 223171037691333273
BaseRepresentation
bin1001110010111111100100…
…11110101011111111110100
32211021112002122111000022120
410321133302132223333310
510310431214223321434
6113452511353155540
74352311531056111
oct471376236537764
984245078430276
1021543329120244
116956524722808
1224bb2a93bbbb0
13c036b13b9619
145469ba291908
152755d111d349
hex1397f27abff4

21543329120244 has 96 divisors (see below), whose sum is σ = 53811365287680. Its totient is φ = 6684364505088.

The previous prime is 21543329120213. The next prime is 21543329120249. The reversal of 21543329120244 is 44202192334512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21543329120196 and 21543329120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21543329120249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15491592 + ... + 16824864.

It is an arithmetic number, because the mean of its divisors is an integer number (560535055080).

Almost surely, 221543329120244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21543329120244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26905682643840).

21543329120244 is an abundant number, since it is smaller than the sum of its proper divisors (32268036167436).

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

21543329120244 is a wasteful number, since it uses less digits than its factorization.

21543329120244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334169 (or 1334167 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 21543329120244 in words is "twenty-one trillion, five hundred forty-three billion, three hundred twenty-nine million, one hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 769 1236 1538 1751 2307 3076 3502 4614 5253 7004 9228 10506 13073 21012 26146 39219 52292 78438 79207 156876 158414 237621 316828 475242 950484 1333273 1346519 2666546 2693038 3999819 4039557 5333092 5386076 7999638 8079114 15999276 16158228 22665641 45331282 67996923 90662564 135993846 137327119 271987692 274654238 411981357 549308476 823962714 1025286937 1647925428 2050573874 2334561023 3075860811 4101147748 4669122046 6151721622 7003683069 9338244092 12303443244 14007366138 17429877929 28014732276 34859755858 52289633787 69719511716 104579267574 105604554511 209158535148 211209109022 316813663533 422418218044 633627327066 1267254654132 1795277426687 3590554853374 5385832280061 7181109706748 10771664560122 21543329120244