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1066504531521 = 311138329952103
BaseRepresentation
bin11111000010100001001…
…11111010111001000001
310202221211112102200001010
433201100213322321001
5114433200130002041
62133540113231133
7140023655641332
oct17412047727101
93687745380033
101066504531521
11381336005840
121528422624a9
13797564a2340
1439894b20289
151cb20062a16
hexf8509fae41

1066504531521 has 32 divisors (see below), whose sum is σ = 1690736366592. Its totient is φ = 589457367360.

The previous prime is 1066504531511. The next prime is 1066504531529. The reversal of 1066504531521 is 1251354056601.

1066504531521 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 1066504531521 - 29 = 1066504531009 is a prime.

It is a super-2 number, since 2×10665045315212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1066504531521.

It is not an unprimeable number, because it can be changed into a prime (1066504531529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14940445 + ... + 15011658.

It is an arithmetic number, because the mean of its divisors is an integer number (52835511456).

Almost surely, 21066504531521 is an apocalyptic number.

1066504531521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1066504531521 is a deficient number, since it is larger than the sum of its proper divisors (624231835071).

1066504531521 is a wasteful number, since it uses less digits than its factorization.

1066504531521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29952213.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1066504531521 in words is "one trillion, sixty-six billion, five hundred four million, five hundred thirty-one thousand, five hundred twenty-one".

Divisors: 1 3 11 13 33 39 83 143 249 429 913 1079 2739 3237 11869 35607 29952103 89856309 329473133 389377339 988419399 1168132017 2486024549 4283150729 7458073647 12849452187 27346270039 32318319137 82038810117 96954957411 355501510507 1066504531521