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1009743049 = 72191084579
BaseRepresentation
bin111100001011110…
…111010011001001
32121101000021001201
4330023313103021
54031443234144
6244110144201
734010450200
oct7413672311
92541007051
101009743049
11478a78997
122421b2061
1313126bac3
1498166237
155d9a81d4
hex3c2f74c9

1009743049 has 12 divisors (see below), whose sum is σ = 1236421200. Its totient is φ = 819940968.

The previous prime is 1009743047. The next prime is 1009743073. The reversal of 1009743049 is 9403479001.

It is not a de Polignac number, because 1009743049 - 21 = 1009743047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1009742999 and 1009743017.

It is not an unprimeable number, because it can be changed into a prime (1009743041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541359 + ... + 543220.

It is an arithmetic number, because the mean of its divisors is an integer number (103035100).

Almost surely, 21009743049 is an apocalyptic number.

1009743049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1009743049 is a deficient number, since it is larger than the sum of its proper divisors (226678151).

1009743049 is a wasteful number, since it uses less digits than its factorization.

1009743049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084612 (or 1084605 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 1009743049 is about 31776.4543176233. The cubic root of 1009743049 is about 1003.2371922782.

The spelling of 1009743049 in words is "one billion, nine million, seven hundred forty-three thousand, forty-nine".

Divisors: 1 7 19 49 133 931 1084579 7592053 20607001 53144371 144249007 1009743049