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1037663813 = 1976178537
BaseRepresentation
bin111101110110010…
…111111001000101
32200022112210011002
4331312113321011
54111120220223
6250544423045
734466665634
oct7566277105
92608483132
101037663813
114928091aa
1224b617a85
13136c96574
149bb5351b
1561170e28
hex3dd97e45

1037663813 has 8 divisors (see below), whose sum is σ = 1044743832. Its totient is φ = 1030602496.

The previous prime is 1037663801. The next prime is 1037663827. The reversal of 1037663813 is 3183667301.

It can be written as a sum of positive squares in 4 ways, for example, as 355775044 + 681888769 = 18862^2 + 26113^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1037663813 - 24 = 1037663797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1037665813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117281 + ... + 125817.

It is an arithmetic number, because the mean of its divisors is an integer number (130592979).

Almost surely, 21037663813 is an apocalyptic number.

It is an amenable number.

1037663813 is a deficient number, since it is larger than the sum of its proper divisors (7080019).

1037663813 is an equidigital number, since it uses as much as digits as its factorization.

1037663813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 1037663813 is about 32212.7895873673. The cubic root of 1037663813 is about 1012.4002037087.

The spelling of 1037663813 in words is "one billion, thirty-seven million, six hundred sixty-three thousand, eight hundred thirteen".

Divisors: 1 197 617 8537 121549 1681789 5267329 1037663813