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1008028734050 = 252131550813437
BaseRepresentation
bin11101010101100110011…
…00011101001001100010
310120100220020220101002102
432222303030131021202
5113003420323442200
62051025414050402
7132553614602642
oct16526314351142
93510806811072
101008028734050
11359558a39698
12143442949a02
137409775c650
1436b08870522
151b34b53a6d5
hexeab331d262

1008028734050 has 24 divisors (see below), whose sum is σ = 2019159096276. Its totient is φ = 372195224640.

The previous prime is 1008028734023. The next prime is 1008028734073. The reversal of 1008028734050 is 504378208001.

1008028734050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 324481754689 + 683546979361 = 569633^2 + 826769^2 .

It is a super-2 number, since 2×10080287340502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1008028733995 and 1008028734013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775406069 + ... + 775407368.

Almost surely, 21008028734050 is an apocalyptic number.

1008028734050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008028734050 is an abundant number, since it is smaller than the sum of its proper divisors (1011130362226).

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

1008028734050 is a wasteful number, since it uses less digits than its factorization.

1008028734050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550813462 (or 1550813457 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 1008028734050 in words is "one trillion, eight billion, twenty-eight million, seven hundred thirty-four thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 1550813437 3101626874 7754067185 15508134370 20160574681 38770335925 40321149362 77540671850 100802873405 201605746810 504014367025 1008028734050