Search a number
-
+
9739123969 = 292412832
BaseRepresentation
bin10010001000111111…
…10011110100000001
3221010201212202111011
421010133303310001
5124421203431334
64250223120521
7463226121301
oct110437636401
927121782434
109739123969
114148532a93
121a79743141
13bc293a563
14685655601
153c002b564
hex2447f3d01

9739123969 has 27 divisors (see below), whose sum is σ = 10464611209. Its totient is φ = 9063414080.

The previous prime is 9739123967. The next prime is 9739123981. The reversal of 9739123969 is 9693219379.

The square root of 9739123969 is 98687.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2571808369 + 7167315600 = 50713^2 + 84660^2 .

It is not a de Polignac number, because 9739123969 - 21 = 9739123967 is a prime.

It is a super-2 number, since 2×97391239692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9739123967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117338802 + ... + 117338884.

Almost surely, 29739123969 is an apocalyptic number.

9739123969 is the 98687-th square number.

9739123969 is the 49344-th centered octagonal number.

It is an amenable number.

9739123969 is a deficient number, since it is larger than the sum of its proper divisors (725487240).

9739123969 is an frugal number, since it uses more digits than its factorization.

9739123969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 4960116, while the sum is 58.

The cubic root of 9739123969 is about 2135.5346937075.

The spelling of 9739123969 in words is "nine billion, seven hundred thirty-nine million, one hundred twenty-three thousand, nine hundred sixty-nine".

Divisors: 1 29 41 83 841 1189 1681 2407 3403 6889 34481 48749 69803 98687 139523 199781 282449 1413721 2861923 4046167 5793649 8191021 11580409 117338843 237539609 335831861 9739123969