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1027443749641 = 10136292
BaseRepresentation
bin11101111001110000110…
…10110111001100001001
310122020000022200100120221
432330320122313030021
5113313201044442031
62104000125150041
7134142004526641
oct16747032671411
93566008610527
101027443749641
11366811236221
121471609bb321
1375b6cb9815a
1437a2b19b521
151bad5c52a11
hexef386b7309

1027443749641 has 3 divisors (see below), whose sum is σ = 1027444763271. Its totient is φ = 1027442736012.

The previous prime is 1027443749611. The next prime is 1027443749669. The reversal of 1027443749641 is 1469473447201.

The square root of 1027443749641 is 1013629.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 267931499641 + 759512250000 = 517621^2 + 871500^2 .

It is not a de Polignac number, because 1027443749641 - 27 = 1027443749513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027443749611) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 506815 + ... + 1520443.

It is an arithmetic number, because the mean of its divisors is an integer number (342481587757).

Almost surely, 21027443749641 is an apocalyptic number.

1027443749641 is the 1013629-th square number.

1027443749641 is the 506815-th centered octagonal number.

It is an amenable number.

1027443749641 is a deficient number, since it is larger than the sum of its proper divisors (1013630).

1027443749641 is an frugal number, since it uses more digits than its factorization.

1027443749641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027258 (or 1013629 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 1027443749641 in words is "one trillion, twenty-seven billion, four hundred forty-three million, seven hundred forty-nine thousand, six hundred forty-one".

Divisors: 1 1013629 1027443749641