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1066066156152 = 233271597206803
BaseRepresentation
bin11111000001101100111…
…11101001101001111000
310202220200222112220002100
433200312133221221320
5114431300413444102
62133424413303400
7140010053546124
oct17406637515170
93686628486070
101066066156152
11381130609948
1215273b494b60
13796b671582a
143985280a584
151cae681da1c
hexf8367e9a78

1066066156152 has 48 divisors (see below), whose sum is σ = 2887316794440. Its totient is φ = 355348703808.

The previous prime is 1066066156151. The next prime is 1066066156153. The reversal of 1066066156152 is 2516516606601.

1066066156152 is a `hidden beast` number, since 10 + 6 + 6 + 0 + 6 + 6 + 15 + 615 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1066066156151) and next prime (1066066156153).

It is a super-2 number, since 2×10660661561522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066066156098 and 1066066156107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066066156151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5051583 + ... + 5258385.

Almost surely, 21066066156152 is an apocalyptic number.

1066066156152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066066156152 is an abundant number, since it is smaller than the sum of its proper divisors (1821250638288).

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

1066066156152 is a wasteful number, since it uses less digits than its factorization.

1066066156152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278412 (or 278405 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1066066156152 in words is "one trillion, sixty-six billion, sixty-six million, one hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 71597 143194 206803 214791 286388 413606 429582 572776 620409 644373 827212 859164 1240818 1288746 1654424 1718328 1861227 2481636 2577492 3722454 4963272 5154984 7444908 14889816 14806474391 29612948782 44419423173 59225897564 88838846346 118451795128 133258269519 177677692692 266516539038 355355385384 533033078076 1066066156152