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9937497969 = 32724721012
BaseRepresentation
bin10010100000101001…
…00010111101110001
3221122120011012110100
421100110202331301
5130322444413334
64322031023013
7501155224200
oct112024427561
927576135410
109937497969
11423a505343
121b1406aa69
13c24a75719
146a3b33237
153d2663c99
hex250522f71

9937497969 has 81 divisors (see below), whose sum is σ = 17231118411. Its totient is φ = 5502722400.

The previous prime is 9937497923. The next prime is 9937498007. The reversal of 9937497969 is 9697947399.

The square root of 9937497969 is 99687.

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., 9547830369 + 389667600 = 97713^2 + 19740^2 .

It is not a de Polignac number, because 9937497969 - 29 = 9937497457 is a prime.

It is a super-2 number, since 2×99374979692 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9937497897 and 9937497906.

It is not an unprimeable number, because it can be changed into a prime (9937497469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98391019 + ... + 98391119.

Almost surely, 29937497969 is an apocalyptic number.

9937497969 is the 99687-th square number.

9937497969 is the 49844-th centered octagonal number.

It is an amenable number.

9937497969 is a deficient number, since it is larger than the sum of its proper divisors (7293620442).

9937497969 is a wasteful number, since it uses less digits than its factorization.

9937497969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 208324872, while the sum is 72.

The cubic root of 9937497969 is about 2149.9367545124.

The spelling of 9937497969 in words is "nine billion, nine hundred thirty-seven million, four hundred ninety-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 47 49 63 101 141 147 303 329 423 441 707 909 987 2121 2209 2303 2961 4747 4949 6363 6627 6909 10201 14241 14847 15463 19881 20727 30603 33229 42723 44541 46389 71407 91809 99687 108241 139167 214221 223109 232603 299061 324723 479447 499849 642663 669327 697809 974169 1438341 1499547 1561763 2007981 2093427 3356129 4315023 4498641 4685289 10068387 10932341 14055867 22534009 23492903 30205161 32797023 67602027 70478709 98391069 157738063 202806081 211436127 473214189 1104166441 1419642567 3312499323 9937497969