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66029340048 = 24372267710487
BaseRepresentation
bin111101011111101001…
…111100010110010000
320022102200212000101220
4331133221330112100
52040212002340143
650200005525040
74525161062400
oct753751742620
9208380760356
1066029340048
1126003928521
1210969113780
1362c3929719
1432a553c800
151ab6c33d83
hexf5fa7c590

66029340048 has 120 divisors (see below), whose sum is σ = 198517954752. Its totient is φ = 18856680192.

The previous prime is 66029340043. The next prime is 66029340053. The reversal of 66029340048 is 84004392066.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66029340043) and next prime (66029340053).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66029339991 and 66029340009.

It is not an unprimeable number, because it can be changed into a prime (66029340043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6291061 + ... + 6301547.

Almost surely, 266029340048 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 66029340048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99258977376).

66029340048 is an abundant number, since it is smaller than the sum of its proper divisors (132488614704).

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

66029340048 is a wasteful number, since it uses less digits than its factorization.

66029340048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 66029340048 in words is "sixty-six billion, twenty-nine million, three hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2677 5354 8031 10487 10708 16062 18739 20974 21416 31461 32124 37478 41948 42832 56217 62922 64248 73409 74956 83896 112434 125844 128496 131173 146818 149912 167792 220227 224868 251688 262346 293636 299824 393519 440454 449736 503376 513863 524692 587272 787038 880908 899472 1027726 1049384 1174544 1541589 1574076 1761816 2055452 2098768 3083178 3148152 3523632 4110904 6166356 6296304 8221808 12332712 24665424 28073699 56147398 84221097 112294796 168442194 196515893 224589592 336884388 393031786 449179184 589547679 673768776 786063572 1179095358 1347537552 1375611251 1572127144 2358190716 2751222502 3144254288 4126833753 4716381432 5502445004 8253667506 9432762864 11004890008 16507335012 22009780016 33014670024 66029340048