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7865383969 = 13126772
BaseRepresentation
bin1110101001101000…
…00011110000100001
3202022011002220102101
413110310003300201
5112102014241334
63340250250401
7365624442412
oct72464036041
922264086371
107865383969
113376893433
121636126a01
1398469c571
14548865809
153107a9214
hex1d4d03c21

7865383969 has 9 divisors (see below), whose sum is σ = 7937608051. Its totient is φ = 7793813560.

The previous prime is 7865383961. The next prime is 7865384003. The reversal of 7865383969 is 9693835687.

The square root of 7865383969 is 88687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7818980625 + 46403344 = 88425^2 + 6812^2 .

It is not a de Polignac number, because 7865383969 - 23 = 7865383961 is a prime.

It is a super-2 number, since 2×78653839692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7865383969.

It is not an unprimeable number, because it can be changed into a prime (7865383961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11617659 + ... + 11618335.

Almost surely, 27865383969 is an apocalyptic number.

7865383969 is the 88687-th square number.

7865383969 is the 44344-th centered octagonal number.

It is an amenable number.

7865383969 is a deficient number, since it is larger than the sum of its proper divisors (72224082).

7865383969 is an frugal number, since it uses more digits than its factorization.

7865383969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 808 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

The cubic root of 7865383969 is about 1988.7184807306.

Multiplying 7865383969 by its sum of digits (64), we get a square (503384574016 = 7094962).

The spelling of 7865383969 in words is "seven billion, eight hundred sixty-five million, three hundred eighty-three thousand, nine hundred sixty-nine".

Divisors: 1 131 677 17161 88687 458329 11617997 60041099 7865383969