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1027253668763 = 7279265371653
BaseRepresentation
bin11101111001011010001…
…01110000101110011011
310122012112002000020122102
432330231011300232123
5113312303414400023
62103525215114015
7134134206054200
oct16745505605633
93565462006572
101027253668763
11366723a08693
1214710921290b
1375b3c6a496a
1437a0dc3bca7
151bac4207628
hexef2d170b9b

1027253668763 has 12 divisors (see below), whose sum is σ = 1210094742240. Its totient is φ = 869357531952.

The previous prime is 1027253668733. The next prime is 1027253668769. The reversal of 1027253668763 is 3678663527201.

It is not a de Polignac number, because 1027253668763 - 230 = 1026179926939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1027253668699 and 1027253668708.

It is not an unprimeable number, because it can be changed into a prime (1027253668769) 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, 132681956 + ... + 132689697.

It is an arithmetic number, because the mean of its divisors is an integer number (100841228520).

Almost surely, 21027253668763 is an apocalyptic number.

1027253668763 is a deficient number, since it is larger than the sum of its proper divisors (182841073477).

1027253668763 is an equidigital number, since it uses as much as digits as its factorization.

1027253668763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265371746 (or 265371739 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 1027253668763 in words is "one trillion, twenty-seven billion, two hundred fifty-three million, six hundred sixty-eight thousand, seven hundred sixty-three".

Divisors: 1 7 49 79 553 3871 265371653 1857601571 13003210997 20964360587 146750524109 1027253668763