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21437475105375 = 3253717160130533
BaseRepresentation
bin1001101111111010011010…
…00101101010101001011111
32210220101212111110220100100
410313331031011222221133
510302212422111333000
6113332123510232143
74341543421560630
oct467751505525137
983811774426310
1021437475105375
11691564490669a
1224a2887055653
13bc6711b35774
14541817983887
15272987ed5a00
hex137f4d16aa5f

21437475105375 has 96 divisors (see below), whose sum is σ = 46763240105088. Its totient is φ = 9223518643200.

The previous prime is 21437475105353. The next prime is 21437475105407. The reversal of 21437475105375 is 57350157473412.

21437475105375 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 7 + 4 + 7 + 510 + 53 + 75 = 666.

It is not a de Polignac number, because 21437475105375 - 212 = 21437475101279 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79931392 + ... + 80199141.

It is an arithmetic number, because the mean of its divisors is an integer number (487117084428).

Almost surely, 221437475105375 is an apocalyptic number.

21437475105375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21437475105375 is an abundant number, since it is smaller than the sum of its proper divisors (25325764999713).

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

21437475105375 is a wasteful number, since it uses less digits than its factorization.

21437475105375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160130578 (or 160130565 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 21437475105375 in words is "twenty-one trillion, four hundred thirty-seven billion, four hundred seventy-five million, one hundred five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 125 153 175 225 255 315 357 375 425 525 595 765 875 1071 1125 1275 1575 1785 2125 2625 2975 3825 5355 6375 7875 8925 14875 19125 26775 44625 133875 160130533 480391599 800652665 1120913731 1441174797 2401957995 2722219061 3362741193 4003263325 5604568655 7205873985 8166657183 10088223579 12009789975 13611095305 16813705965 19055533427 20016316625 24499971549 28022843275 36029369925 40833285915 50441117895 57166600281 60048949875 68055476525 84068529825 95277667135 122499857745 140114216375 171499800843 180146849625 204166429575 252205589475 285833001405 340277382625 420342649125 476388335675 612499288725 857499004215 1020832147875 1261027947375 1429165007025 2381941678375 3062496443625 4287495021075 7145825035125 21437475105375