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21621201004026 = 23213179161593297
BaseRepresentation
bin1001110101010000101000…
…00000010110010111111010
32211112222002200011120200100
410322220110000112113322
510313220204424112101
6113552350450020230
74361036342132211
oct472502400262772
984488080146610
1021621201004026
116986555337658
122512400577676
13c0ab4166ab70
1454a686542078
1527763c86de86
hex13aa140165fa

21621201004026 has 96 divisors (see below), whose sum is σ = 53423005800528. Its totient is φ = 6260649246720.

The previous prime is 21621201004003. The next prime is 21621201004057. The reversal of 21621201004026 is 62040010212612.

21621201004026 is a `hidden beast` number, since 2 + 1 + 621 + 2 + 0 + 10 + 0 + 4 + 0 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15080011123401 + 6541189880625 = 3883299^2 + 2557575^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36145810 + ... + 36739106.

Almost surely, 221621201004026 is an apocalyptic number.

21621201004026 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21621201004026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26711502900264).

21621201004026 is an abundant number, since it is smaller than the sum of its proper divisors (31801804796502).

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

21621201004026 is a wasteful number, since it uses less digits than its factorization.

21621201004026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602496 (or 602493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21621201004026 its reverse (62040010212612), we get a palindrome (83661211216638).

The spelling of 21621201004026 in words is "twenty-one trillion, six hundred twenty-one billion, two hundred one million, four thousand, twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 9161 18322 27483 54966 82449 119093 155737 164898 238186 311474 357279 467211 593297 714558 934422 1071837 1186594 1401633 1779891 2024581 2143674 2803266 3559782 4049162 5339673 6073743 7712861 10086049 10679346 12147486 15425722 18221229 20172098 23138583 30258147 36442458 46277166 60516294 69415749 90774441 131118637 138831498 181548882 262237274 393355911 786711822 1180067733 2360135466 5435193817 10870387634 16305581451 32611162902 48916744353 70657519621 92398294889 97833488706 141315039242 184796589778 211972558863 277194884667 423945117726 554389769334 635917676589 831584654001 1201177833557 1271835353178 1663169308002 2402355667114 3603533500671 7207067001342 10810600502013 21621201004026