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1066278421935 = 375112986369
BaseRepresentation
bin11111000010000110010…
…01011000010110101111
310202221020202222010000000
433201003021120112233
5114432214234000220
62133501435035343
7140015242020606
oct17410311302657
93687222863000
101066278421935
1138122a40a311
1215279a59bb53
137971b6a5a9c
1439872aa2a3d
151cb0a29c390
hexf8432585af

1066278421935 has 64 divisors (see below), whose sum is σ = 1920730608000. Its totient is φ = 568171542528.

The previous prime is 1066278421931. The next prime is 1066278421969. The reversal of 1066278421935 is 5391248726601.

It is a happy number.

1066278421935 is a `hidden beast` number, since 1 + 0 + 6 + 62 + 78 + 421 + 93 + 5 = 666.

1066278421935 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1066278421935 - 22 = 1066278421931 is a prime.

It is a super-2 number, since 2×10662784219352 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066278421931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12302431 + ... + 12388799.

It is an arithmetic number, because the mean of its divisors is an integer number (30011415750).

It is a 1-persistent number, because it is pandigital, but 2⋅1066278421935 = 2132556843870 is not.

Almost surely, 21066278421935 is an apocalyptic number.

1066278421935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1066278421935 is a deficient number, since it is larger than the sum of its proper divisors (854452186065).

1066278421935 is an frugal number, since it uses more digits than its factorization.

1066278421935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87524 (or 87506 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1066278421935 in words is "one trillion, sixty-six billion, two hundred seventy-eight million, four hundred twenty-one thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1129 1215 2187 3387 3645 5645 10161 10935 16935 30483 50805 86369 91449 152415 259107 274347 431845 457245 777321 823041 1295535 1371735 2331963 2469123 3886605 4115205 6995889 11659815 12345615 20987667 34979445 62963001 97510601 104938335 188889003 292531803 314815005 487553005 877595409 944445015 1462659015 2632786227 4387977045 7898358681 13163931135 23695076043 39491793405 71085228129 118475380215 213255684387 355426140645 1066278421935