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9152331709073 = 721138681190409
BaseRepresentation
bin1000010100101111000101…
…1110101111101010010001
31012101221202201210102202012
42011023301132233222101
52144422433404142243
631244304555432305
71633143211635200
oct205136136575221
935357681712665
109152331709073
112a09533715873
121039949455695
135150a4537157
14238d91ddb237
1510d116d42d18
hex852f17afa91

9152331709073 has 24 divisors (see below), whose sum is σ = 10742101250760. Its totient is φ = 7774495733760.

The previous prime is 9152331709061. The next prime is 9152331709091. The reversal of 9152331709073 is 3709071332519.

It can be written as a sum of positive squares in 4 ways, for example, as 1657483729489 + 7494847979584 = 1287433^2 + 2737672^2 .

It is not a de Polignac number, because 9152331709073 - 26 = 9152331709009 is a prime.

It is a super-2 number, since 2×91523317090732 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9152331709373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47971493 + ... + 48161901.

It is an arithmetic number, because the mean of its divisors is an integer number (447587552115).

Almost surely, 29152331709073 is an apocalyptic number.

It is an amenable number.

9152331709073 is a deficient number, since it is larger than the sum of its proper divisors (1589769541687).

9152331709073 is a wasteful number, since it uses less digits than its factorization.

9152331709073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199217 (or 199210 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 50.

The spelling of 9152331709073 in words is "nine trillion, one hundred fifty-two billion, three hundred thirty-one million, seven hundred nine thousand, seventy-three".

Divisors: 1 7 49 113 791 5537 8681 60767 190409 425369 980953 1332863 6866671 9330041 21516217 48066697 150613519 1054294633 1652940529 11570583703 80994085921 186782279777 1307475958439 9152331709073