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9130752144 = 2432473313397
BaseRepresentation
bin10001000000011110…
…00011100010010000
3212120100010021020100
420200033003202100
5122144433032034
64110011412400
7442161053433
oct104017034220
925510107210
109130752144
113966087258
121929a54100
13b268a0227
1462892d81a
15386908099
hex2203c3890

9130752144 has 60 divisors (see below), whose sum is σ = 25560731196. Its totient is φ = 3042713856.

The previous prime is 9130752143. The next prime is 9130752151. The reversal of 9130752144 is 4412570319.

9130752144 is a `hidden beast` number, since 91 + 3 + 0 + 7 + 521 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 846111744 + 8284640400 = 29088^2 + 91020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9130752099 and 9130752108.

It is not an unprimeable number, because it can be changed into a prime (9130752143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674854 + ... + 688250.

Almost surely, 29130752144 is an apocalyptic number.

It is an amenable number.

9130752144 is an abundant number, since it is smaller than the sum of its proper divisors (16429979052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9130752144 is a wasteful number, since it uses less digits than its factorization.

9130752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 18135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9130752144 is about 95554.9692271417. The cubic root of 9130752144 is about 2090.1085956561.

The spelling of 9130752144 in words is "nine billion, one hundred thirty million, seven hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4733 9466 13397 14199 18932 26794 28398 37864 40191 42597 53588 56796 75728 80382 85194 107176 113592 120573 160764 170388 214352 227184 241146 321528 340776 482292 643056 681552 964584 1929168 63408001 126816002 190224003 253632004 380448006 507264008 570672009 760896012 1014528016 1141344018 1521792024 2282688036 3043584048 4565376072 9130752144