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1027016583781 = 23213734076133
BaseRepresentation
bin11101111000111101111…
…01010110101001100101
310122011220112220002012011
432330132331112221211
5113311312221140111
62103445505354221
7134125266632266
oct16743675265145
93564815802164
101027016583781
113666120a6191
12147061938971
1375b025348a6
14379ca56496d
151baad4c5021
hexef1ef56a65

1027016583781 has 16 divisors (see below), whose sum is σ = 1072660529664. Its totient is φ = 981455739264.

The previous prime is 1027016583773. The next prime is 1027016583799. The reversal of 1027016583781 is 1873856107201.

It is a cyclic number.

It is not a de Polignac number, because 1027016583781 - 23 = 1027016583773 is a prime.

It is a super-2 number, since 2×10270165837812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027016583731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167454391 + ... + 167460523.

It is an arithmetic number, because the mean of its divisors is an integer number (67041283104).

Almost surely, 21027016583781 is an apocalyptic number.

It is an amenable number.

1027016583781 is a deficient number, since it is larger than the sum of its proper divisors (45643945883).

1027016583781 is a wasteful number, since it uses less digits than its factorization.

1027016583781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700.

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 1027016583781 in words is "one trillion, twenty-seven billion, sixteen million, five hundred eighty-three thousand, seven hundred eighty-one".

Divisors: 1 23 2137 3407 6133 49151 78361 141059 7280759 13106221 20895131 167457457 301443083 480588013 44652894947 1027016583781