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21336400404 = 22331189201797
BaseRepresentation
bin10011110111101111…
…111010001000010100
32001001222012102222000
4103313233322020110
5322144104303104
613445105035300
71353510260664
oct236757721024
961058172860
1021336400404
119059929470
124175625b30
132020518bc7
1410659a01a4
1584d24b639
hex4f7bfa214

21336400404 has 96 divisors (see below), whose sum is σ = 61023715200. Its totient is φ = 6392897280.

The previous prime is 21336400399. The next prime is 21336400433. The reversal of 21336400404 is 40400463312.

21336400404 is a `hidden beast` number, since 2 + 13 + 3 + 640 + 0 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×213364004042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834 + ... + 206630.

It is an arithmetic number, because the mean of its divisors is an integer number (635663700).

Almost surely, 221336400404 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 21336400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30511857600).

21336400404 is an abundant number, since it is smaller than the sum of its proper divisors (39687314796).

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

21336400404 is a wasteful number, since it uses less digits than its factorization.

21336400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201910 (or 201902 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21336400404 its reverse (40400463312), we get a palindrome (61736863716).

The spelling of 21336400404 in words is "twenty-one billion, three hundred thirty-six million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 11748 17622 26433 35244 52866 105732 201797 403594 605391 807188 1210782 1816173 2219767 2421564 3632346 4439534 5448519 6659301 7264692 8879068 10897038 13318602 17959933 19977903 21794076 26637204 35919866 39955806 53879799 59933709 71839732 79911612 107759598 119867418 161639397 197559263 215519196 239734836 323278794 395118526 484918191 592677789 646557588 790237052 969836382 1185355578 1778033367 1939672764 2370711156 3556066734 5334100101 7112133468 10668200202 21336400404