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21261406403061 = 32111271938761849
BaseRepresentation
bin1001101010110010011101…
…00100110111100111110101
32210021120101222011002200200
410311121032210313213311
510241321330014344221
6113115204423031113
74323041320364046
oct465311644674765
983246358132620
1021261406403061
116857a036a3670
122474729b9b499
13bb2c32809986
145370b3d368cd
1526d0d09d1426
hex13564e9379f5

21261406403061 has 48 divisors (see below), whose sum is σ = 33941584435200. Its totient is φ = 12717997608960.

The previous prime is 21261406403023. The next prime is 21261406403071. The reversal of 21261406403061 is 16030460416212.

21261406403061 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 1 + 4 + 0 + 640 + 3 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 21261406403061 - 215 = 21261406370293 is a prime.

It is a super-2 number, since 2×212614064030612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21261406403071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1954336 + ... + 6807513.

It is an arithmetic number, because the mean of its divisors is an integer number (707116342400).

Almost surely, 221261406403061 is an apocalyptic number.

It is an amenable number.

21261406403061 is a deficient number, since it is larger than the sum of its proper divisors (12680178032139).

21261406403061 is a wasteful number, since it uses less digits than its factorization.

21261406403061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762186 (or 8762183 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 21261406403061 its reverse (16030460416212), we get a palindrome (37291866819273).

The spelling of 21261406403061 in words is "twenty-one trillion, two hundred sixty-one billion, four hundred six million, four hundred three thousand, sixty-one".

Divisors: 1 3 9 11 33 99 127 193 381 579 1143 1397 1737 2123 4191 6369 12573 19107 24511 73533 220599 269621 808863 2426589 8761849 26285547 78856641 96380339 289141017 867423051 1112754823 1691036857 3338264469 5073110571 10014793407 12240303053 15219331713 18601405427 36720909159 55804216281 110162727477 167412648843 214761680839 644285042517 1932855127551 2362378489229 7087135467687 21261406403061