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21556133434444 = 22743132126215171
BaseRepresentation
bin1001110011010111011011…
…01011010001010001001100
32211022202011000001120022211
410321223231223101101030
510311133430124400234
6113502430114120204
74353244036665160
oct471535553212114
984282130046284
1021556133434444
1169609a53a1564
122501881580064
13c049720848bb
14547472a3cca0
15275ad02b9164
hex139aedad144c

21556133434444 has 96 divisors (see below), whose sum is σ = 44173657769472. Its totient is φ = 9011483712000.

The previous prime is 21556133434427. The next prime is 21556133434567. The reversal of 21556133434444 is 44443433165512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4168655979 + ... + 4168661149.

It is an arithmetic number, because the mean of its divisors is an integer number (460142268432).

Almost surely, 221556133434444 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 21556133434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086828884736).

21556133434444 is an abundant number, since it is smaller than the sum of its proper divisors (22617524335028).

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

21556133434444 is a wasteful number, since it uses less digits than its factorization.

21556133434444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9165 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 49.

Adding to 21556133434444 its reverse (44443433165512), we get a palindrome (65999566599956).

The spelling of 21556133434444 in words is "twenty-one trillion, five hundred fifty-six billion, one hundred thirty-three million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1321 2621 2642 5171 5242 5284 9247 10342 10484 18347 18494 20684 36197 36694 36988 56803 72394 73388 112703 113606 144788 222353 225406 227212 397621 444706 450812 788921 795242 889412 1556471 1577842 1590484 3112942 3155684 3462341 6225884 6830891 6924682 13553191 13661782 13849364 24236387 27106382 27323564 47816237 48472774 54212764 94872337 95632474 96945548 148880663 189744674 191264948 293728313 297761326 379489348 582787213 587456626 595522652 1042164641 1165574426 1174913252 2056098191 2084329282 2331148852 4079510491 4112196382 4168658564 8159020982 8224392764 16318041964 17903765311 35807530622 71615061244 125326357177 250652714354 501305428708 769861908373 1539723816746 3079447633492 5389033358611 10778066717222 21556133434444