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1023485769 = 32677323251
BaseRepresentation
bin111101000000010…
…010011101001001
32122022212110112100
4331000102131021
54044003021034
6245320504013
734235325345
oct7500223511
92568773470
101023485769
11485805009
1224691b009
131340710a7
1499d02625
155ecc0099
hex3d012749

1023485769 has 24 divisors (see below), whose sum is σ = 1521052832. Its totient is φ = 662904000.

The previous prime is 1023485767. The next prime is 1023485779. The reversal of 1023485769 is 9675843201.

1023485769 is a `hidden beast` number, since 10 + 23 + 48 + 576 + 9 = 666.

1023485769 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023485769 - 21 = 1023485767 is a prime.

It is a super-2 number, since 2×10234857692 = 2095046238691042722, which contains 22 as substring.

It is a Duffinian number.

1023485769 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1023485767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32394 + ... + 55644.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023485769 = 2046971538, but 3⋅1023485769 = 3070457307 is not.

Almost surely, 21023485769 is an apocalyptic number.

It is an amenable number.

1023485769 is a deficient number, since it is larger than the sum of its proper divisors (497567063).

1023485769 is a wasteful number, since it uses less digits than its factorization.

1023485769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23397 (or 23394 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1023485769 is about 31991.9641316378. The cubic root of 1023485769 is about 1007.7680901909.

The spelling of 1023485769 in words is "one billion, twenty-three million, four hundred eighty-five thousand, seven hundred sixty-nine".

Divisors: 1 3 9 67 73 201 219 603 657 4891 14673 23251 44019 69753 209259 1557817 1697323 4673451 5091969 14020353 15275907 113720641 341161923 1023485769