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9213993129 = 31129471271613
BaseRepresentation
bin10001001010011001…
…00110000010101001
3212210010202100101210
420211030212002221
5122332240240004
64122143503333
7444221435505
oct104514460251
925703670353
109213993129
1139a9071460
1219518b7b49
13b3abc6853
146359db305
1538dd9c089
hex2253260a9

9213993129 has 64 divisors (see below), whose sum is σ = 14279639040. Its totient is φ = 5232165120.

The previous prime is 9213993119. The next prime is 9213993161.

9213993129 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9213993129 - 25 = 9213993097 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9213993109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5711527 + ... + 5713139.

It is an arithmetic number, because the mean of its divisors is an integer number (223119360).

Almost surely, 29213993129 is an apocalyptic number.

It is an amenable number.

9213993129 is a deficient number, since it is larger than the sum of its proper divisors (5065645911).

9213993129 is a wasteful number, since it uses less digits than its factorization.

9213993129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its digits is 236196, while the sum is 48.

The square root of 9213993129 is about 95989.5469777830. The cubic root of 9213993129 is about 2096.4409200049.

The spelling of 9213993129 in words is "nine billion, two hundred thirteen million, nine hundred ninety-three thousand, one hundred twenty-nine".

Divisors: 1 3 11 29 33 47 87 127 141 319 381 517 957 1363 1397 1551 1613 3683 4089 4191 4839 5969 11049 14993 17743 17907 40513 44979 46777 53229 65659 75811 121539 140331 173101 196977 204851 227433 514547 519303 614553 833921 1543641 1904111 2198519 2253361 2501763 5712333 5940679 6595557 6760083 9627997 17822037 24183709 28883991 65347469 72551127 105907967 196042407 279211913 317723901 837635739 3071331043 9213993129