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21416355361412 = 22118919930239091
BaseRepresentation
bin1001101111010011000100…
…10000001111001010000100
32210211101100121221202010222
410313221202100033022010
510301341143433031122
6113314312101003512
74340165151656234
oct467514220171204
983741317852128
1021416355361412
116907697307440
12249a7720b3598
13bc472748644b
145407b2a9dcc4
1527214dcd3b42
hex137a6240f284

21416355361412 has 96 divisors (see below), whose sum is σ = 41571242496000. Its totient is φ = 9572738630400.

The previous prime is 21416355361319. The next prime is 21416355361469.

21416355361412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355770987 + ... + 2355780077.

It is an arithmetic number, because the mean of its divisors is an integer number (433033776000).

Almost surely, 221416355361412 is an apocalyptic number.

21416355361412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21416355361412 is a deficient number, since it is larger than the sum of its proper divisors (20154887134588).

21416355361412 is a wasteful number, since it uses less digits than its factorization.

21416355361412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12415 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The spelling of 21416355361412 in words is "twenty-one trillion, four hundred sixteen billion, three hundred fifty-five million, three hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 89 178 199 356 398 796 979 1958 2189 3023 3916 4378 6046 8756 9091 12092 17711 18182 33253 35422 36364 66506 70844 100001 133012 194821 200002 269047 389642 400004 538094 601577 779284 809099 1076188 1203154 1618198 1809109 2406308 2959517 3236396 3618218 5919034 6617347 7236436 8900089 11838068 13234694 17800178 19900199 26469388 27482093 35600356 39800398 53540353 54964186 79600796 107080706 109928372 161010701 214161412 302303023 322021402 588943883 604606046 644042804 1177887766 1209212092 1771117711 2355775532 2445906277 3542235422 4891812554 5468936507 7084470844 9783625108 10937873014 21875746028 26904969047 53809938094 60158301577 107619876188 120316603154 240633206308 486735349123 973470698246 1946941396492 5354088840353 10708177680706 21416355361412