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54666474367684 = 2243214925772
BaseRepresentation
bin11000110111000000001111…
…10010010010101011000100
321011120001201120221210010011
430123200013302102223010
524131123414414231214
6312133233122040004
714341344124164424
oct1433400762225304
9234501646853104
1054666474367684
1116466a156a0603
12616a88b7a9004
132467046050c8a
14d6dc2b492484
1564c0017c6ac4
hex31b807c92ac4

54666474367684 has 81 divisors (see below), whose sum is σ = 98775802395207. Its totient is φ = 26472443010048.

The previous prime is 54666474367621. The next prime is 54666474367781. The reversal of 54666474367684 is 48676347466645.

It is a happy number.

The square root of 54666474367684 is 7393678.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3779252640900 + 50887221726784 = 1944030^2 + 7133528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54666474367684.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94742589604 + ... + 94742590180.

Almost surely, 254666474367684 is an apocalyptic number.

54666474367684 is the 7393678-th square number.

It is an amenable number.

54666474367684 is a deficient number, since it is larger than the sum of its proper divisors (44109328027523).

54666474367684 is an frugal number, since it uses more digits than its factorization.

54666474367684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 76.

The spelling of 54666474367684 in words is "fifty-four trillion, six hundred sixty-six billion, four hundred seventy-four million, three hundred sixty-seven thousand, six hundred eighty-four".

Divisors: 1 2 4 43 86 149 172 298 577 596 1154 1849 2308 3698 6407 7396 12814 22201 24811 25628 44402 49622 85973 88804 99244 171946 275501 332929 343892 551002 665858 954643 1066873 1102004 1331716 1909286 2133746 3696839 3818572 4267492 7393678 12809977 14315947 14787356 25619954 28631894 41049649 49606421 51239908 57263788 82099298 99212842 158964077 164198596 198425684 317928154 550829011 615585721 635856308 1101658022 1231171442 2133076103 2203316044 2462342884 4266152206 7391356729 8532304412 14782713458 23685647473 29565426916 47371294946 91722272429 94742589892 183444544858 317828339347 366889089716 635656678694 1271313357388 13666618591921 27333237183842 54666474367684