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1027898863344 = 243419234144267
BaseRepresentation
bin11101111010100111000…
…10111110111011110000
310122021012001001112020000
432331103202332323300
5113320114102111334
62104113223550000
7134156202115023
oct16752342767360
93567161045200
101027898863344
11366a25124951
121472692bb300
1375c132655c2
1437a717cb1ba
151bb10ba1299
hexef538beef0

1027898863344 has 400 divisors, whose sum is σ = 3347553242880. Its totient is φ = 302906926080.

The previous prime is 1027898863273. The next prime is 1027898863349. The reversal of 1027898863344 is 4433688987201.

1027898863344 is a `hidden beast` number, since 10 + 278 + 9 + 8 + 8 + 6 + 3 + 344 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027898863349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23198299 + ... + 23242565.

Almost surely, 21027898863344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027898863344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673776621440).

1027898863344 is an abundant number, since it is smaller than the sum of its proper divisors (2319654379536).

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

1027898863344 is a wasteful number, since it uses less digits than its factorization.

1027898863344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44370 (or 44355 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1027898863344 in words is "one trillion, twenty-seven billion, eight hundred ninety-eight million, eight hundred sixty-three thousand, three hundred forty-four".